Linear Algebra Test & Certification
Tests linear algebra — vectors and systems of equations, matrices and determinants, and vector spaces, eigenvalues and applications in data science and engineering. Pass to earn Linear Algebra SOA-LALG.
- Intermediate difficulty.Assumes hands-on experience in the role.
- 15 scenario questions
- 15 minutes, timed
- 70% to pass · 90% for distinction
- Free no sign-up needed
- LinkedIn-ready · add it to your profile in one clickSee how ↓
What is the Linear Algebra Test & Certification?
The Linear Algebra Test & Certification is a free 15-minute skill test from Science of Apps. It tests linear algebra — vectors and systems of equations, matrices and determinants, and vector spaces, eigenvalues and applications in data science and engineering. Score 70% or more on its 15 questions to earn a verifiable Linear Algebra certificate (SOA-LALG). Every question is based on published standards and research — including 18.06 Linear Algebra (MIT OpenCourseWare) — and each answer is explained with its source.
Built for your job title
University student, Engineering student, Data science student, Machine learning engineer and Maths tutor — and anyone who wants quick, verifiable proof of Linear Algebra skills for a CV or LinkedIn.
- University student
- Engineering student
- Data science student
- Machine learning engineer
- Maths tutor
What the test covers
Three skill areas with 5 questions each, drawn from a bank of 10 per area, so a retake brings questions you haven't seen.
- 01
Vectors and Linear Systems
33%- Vector operations
- Solving systems
- Linear independence
- 02
Matrices and Determinants
33%- Matrix multiplication
- Inverses
- Determinants
- 03
Eigenvalues and Applications
33%- Eigenvalues and eigenvectors
- Orthogonality and least squares
- Applications in data science
Based on published standards
The questions are original scenarios, and each one names the public standard, official guide or research it draws on — shown under the question while you answer, and linked in your review. These are the sources behind this test:
- 18.06 Linear AlgebraMIT OpenCourseWare30 questions
Try a sample question
What is the dot product of (1, 2) and (3, 4)?
- 10
- 11
- (3, 8)
- 7
Show the answer
B. 11 — 1 × 3 + 2 × 4 = 11. The real test has 15 questions like this.
How the test works
15 minutes, 15 questions
One question per screen, with a progress bar and a countdown. Your progress is saved on this device if you need to pause.
Graded on our server
Answers reach the page only after you submit, so the certificate can only be earned by passing.
Every answer explained
Pass or not, you see every question with the right answer, why, and the source behind it. Pass mark 70%, distinction 90%.
Your certificate
Founder-signed, with a QR code and credential ID. Download PDF or PNG, add to LinkedIn, and it's emailed to you.
What you earn

Pass, then add it to LinkedIn in one click
No typing. The Add to LinkedIn button opens your profile’s Licenses & certifications form already filled in: the certificate name, Science of Apps as the issuer, the issue date, your credential ID and a link recruiters can use to verify it.
- 1Take the 15-minute test
- 2Score 70% or more
- 3Click Add to LinkedIn

Linear Algebra
Science of Apps
Show credential ↗Try another skill test
- 20 minSOA-SATM
SAT Math Practice Test
Tests the four content domains of the digital SAT Math section — Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry — with SAT-style questions and a worked explanation for every answer.
Difficulty: AdvancedTake the 20-minute test → - 20 minSOA-SATR
SAT Reading and Writing Practice Test
Tests the four content domains of the digital SAT Reading and Writing section — Information and Ideas, Craft and Structure, Expression of Ideas, and Standard English Conventions — with short, SAT-style passages and an explanation for every answer.
Difficulty: AdvancedTake the 20-minute test → - 20 minSOA-ACT
ACT Practice Test (English, Math, Reading & Science)
Tests all four scored ACT sections — English, Math, Reading and Science — with ACT-style questions on grammar and rhetoric, high-school maths, close reading and data interpretation, each with an explained answer.
Difficulty: AdvancedTake the 20-minute test →
Frequently asked questions
What is the Linear Algebra Test & Certification?
The Linear Algebra Test & Certification is a free 15-minute skill test from Science of Apps. It tests linear algebra — vectors and systems of equations, matrices and determinants, and vector spaces, eigenvalues and applications in data science and engineering. Score 70% or more on its 15 questions to earn a verifiable Linear Algebra certificate (SOA-LALG). Every question is based on published standards and research — including 18.06 Linear Algebra (MIT OpenCourseWare) — and each answer is explained with its source.
How do I take the Linear Algebra Test & Certification for free?
Read the three skill areas on this page, then take the 15-minute test online — no fee, course or sign-up. You see every answer explained when you finish. Score 70% or more and you get a Linear Algebra certificate straight away, on screen, as a PDF and by email, with a credential ID anyone can verify.
Are the Linear Algebra Test & Certification questions based on real standards?
Yes. The questions are original scenarios written by Science of Apps, and each one is based on a public source you can read: 18.06 Linear Algebra (MIT OpenCourseWare). The source is shown under each question and linked in the answer review. Science of Apps doesn't copy questions from other tests.
What does the Linear Algebra Test & Certification cover?
Three skill areas with five questions each, drawn from a bank of 10 per area so a retake brings new questions: Vectors and Linear Systems (Vector operations, Solving systems and Linear independence); Matrices and Determinants (Matrix multiplication, Inverses and Determinants); Eigenvalues and Applications (Eigenvalues and eigenvectors, Orthogonality and least squares and Applications in data science). Every question is an original scenario based on a published standard, official documentation or research, named under the question.
Who should take the Linear Algebra Test & Certification?
University student, Engineering student, Data science student, Machine learning engineer and Maths tutor. It suits anyone who wants a quick, verifiable way to show Linear Algebra skills, from students and career switchers to experienced professionals.
Can I take the Linear Algebra Test & Certification from any country?
Yes. The test is online, in English and free everywhere — people take it from India, the US, the UK, Europe, Africa, Latin America and Asia-Pacific. Your certificate is dated with your own local date and can be verified from anywhere at scienceofapps.com/certification/verify/.
How long is the Linear Algebra Test & Certification?
15 questions — 5 from each of 3 skill areas — with a 15-minute limit. You need 70% (11 of 15) to pass and 90% for distinction.
How hard is the Linear Algebra Test & Certification?
We rate it Intermediate: assumes hands-on experience in the role. It has 15 scenario questions — 5 from each of 3 skill areas — and a 15-minute limit. You need 70% (11 of 15) to pass and 90% for distinction.
How much do Science of Apps certifications cost?
Nothing. There is no fee to take a test, to receive the certificate, to have it emailed or to verify it, and no sign-up.
How are the tests graded?
On our server, not in your browser. The answers never reach the page until you submit, so a certificate can only be earned by passing. Each certificate gets a unique credential ID stored by Science of Apps.
What happens if I don't pass?
You see your score for each area and every question with the correct answer and why, with the published source behind it. You can retake after 30 minutes, and the retake draws questions you haven't seen yet.
Do the certificates expire?
No. Every certificate is dated, so it always shows when you passed. Retake a test any time for a newer date or a higher score.
Can I add the certificate to LinkedIn?
Yes. After you pass, Add to LinkedIn opens the Licenses & certifications form with the certificate name, Science of Apps as the issuer, the issue date, your credential ID and the verification link filled in. You can also download it as a PDF or PNG, and it's emailed to you as a PDF.
How can an employer verify my certificate?
Every certificate has a credential ID and a QR code. Scanning it, or entering the ID at scienceofapps.com/certification/verify/, shows the holder's name, the certification, the score and the issue date from our records.
Are these accredited qualifications?
No. They are Science of Apps' own assessments of applied skill. They aren't issued by a university or standards body, and they work best alongside a portfolio that shows the skills in real work.
621 more certifications to collect
Test Prep, Academics & Aptitude
- SAT Math Practice Test20 min · Advanced
- SAT Reading and Writing Practice Test20 min · Advanced
- ACT Practice Test (English, Math, Reading & Science)20 min · Advanced
- GRE Quant Practice Test20 min · Advanced
- GRE Verbal & Analytical Writing Practice Test20 min · Advanced
- GMAT Focus Quant Practice Test20 min · Advanced
- GMAT Focus Verbal & Data Insights Practice Test20 min · Advanced
- LSAT Practice Test: Logical Reasoning & Reading20 min · Advanced
- MCAT Practice Test: Biology, Chemistry & Physics20 min · Advanced
- AP Exam Practice Tests: Calculus, Stats & Sciences20 min · Advanced
- GCSE & IGCSE Maths and Science Practice Papers20 min · Advanced
- A-Level Maths & Science Practice Papers20 min · Advanced
- IB Maths, Sciences & TOK Practice Questions20 min · Advanced
- Microeconomics Test & Certification15 min · Intermediate
- Macroeconomics Test & Certification15 min · Intermediate
- Econometrics Certification20 min · Advanced
- Business Statistics Certification15 min · Intermediate
- Probability Test & Certification15 min · Intermediate
- Calculus Test & Certification15 min · Intermediate
- Linear Algebra Test & CertificationYou're here
- Biology Test & Certification15 min · Intermediate
- Chemistry Test & Certification15 min · Intermediate
- Physics Test & Certification15 min · Intermediate
- Environmental Science Test & Certification15 min · Intermediate
- Earth Science Test & Certification15 min · Intermediate
- Scientific Reasoning Test10 min · Beginner
- General Aptitude Test10 min · Beginner
- Logical Reasoning Test10 min · Beginner
- Quantitative Aptitude Test10 min · Beginner
- Civil Service Exam Practice Test10 min · Beginner
- Public Administration Certification15 min · Intermediate
Foundation
AI & Generative AI
- AI UX Design Certification30 min · Advanced
- Prompt Engineering Certification30 min · Intermediate
- AI Product Manager Certification30 min · Advanced
Software Engineering & Web Development
- HTML and CSS Fundamentals Certification10 min · Beginner
- JavaScript Fundamentals Certification10 min · Beginner
- TypeScript Fundamentals Certification15 min · Intermediate
Data Analytics & Business Intelligence
- Product Analytics Certification30 min · Advanced
- Data Literacy Certification10 min · Beginner
- Microsoft Excel Fundamentals Certification10 min · Beginner
Digital Marketing, SEO, AEO & Growth
- Conversion Rate Optimization (CRO) Certification30 min · Advanced
- App Store Optimization (ASO) Certification30 min · Intermediate
- Growth Marketing Certification30 min · Intermediate
UX/UI, Design, Research & Creative
- UX Design Certification30 min · Intermediate
- UI Design Certification30 min · Intermediate
- Product Design Certification30 min · Intermediate
Product, Project Management & Business Analysis
- Product Manager Certification30 min · Intermediate
- Design Leadership Certification30 min · Advanced
- Agile Product Owner Certification30 min · Intermediate
Cybersecurity, IT, Cloud & DevOps
- Cybersecurity Fundamentals Certification10 min · Beginner
- Security Awareness and Phishing Detection Certification10 min · Beginner
- Network Security Fundamentals Certification15 min · Intermediate
Sales, Customer Success & Support
- Sales Fundamentals Certification10 min · Beginner
- Consultative Selling Certification15 min · Intermediate
- B2B Sales Development Representative Certification10 min · Beginner
Human Resources & People Management
- Human Resources Fundamentals Certification10 min · Beginner
- Talent Acquisition and Recruitment Certification10 min · Beginner
- Technical Recruitment Certification15 min · Intermediate
Finance, Accounting, Operations & Entrepreneurship
- Financial Literacy for Professionals Certification10 min · Beginner
- Accounting Fundamentals Certification10 min · Beginner
- Bookkeeping Fundamentals Certification10 min · Beginner
Communication, Leadership & Transferable Skills
- Critical Thinking Test10 min · Beginner
- Attention to Detail Test10 min · Beginner
- Cognitive Bias Test10 min · Beginner
Languages
- English Level Test30 min · Beginner
- American Sign Language (ASL) Foundations Test25 min · Intermediate
- App & Software Localization Test25 min · Intermediate
Healthcare, Education, Legal Operations & Sustainability
- Healthcare Administration Fundamentals Certification10 min · Beginner
- Medical Office Administration Certification10 min · Beginner
- Healthcare Data Privacy Awareness Certification10 min · Beginner
Language Exam Prep
- IELTS Academic Practice Test with Band Score20 min · Advanced
- IELTS General Training Practice Test20 min · Advanced
- TOEFL iBT Practice Test20 min · Advanced
Office & Productivity Software
- Microsoft Word Skills Certification15 min · Intermediate
- Microsoft PowerPoint Skills Certification15 min · Intermediate
- Microsoft Outlook Skills Certification10 min · Beginner
Engineering, Architecture, Construction & Safety
- Mechanical Engineering Practice Test (FE-Style)20 min · Advanced
- Electrical Engineering Practice Test (FE-Style)20 min · Advanced
- Civil Engineering Practice Test (FE-Style)20 min · Advanced
Hospitality, Travel & Retail
- Hospitality Management Certification10 min · Beginner
- Food Safety Certification10 min · Beginner
- Hotel Revenue Management Certification15 min · Intermediate
Read before you test
- Career guidesHow to get a machine learning job in 2027: what ML hiring managers test, and the projects that prove you can shipHow to get a machine learning job in 2027: the ML fundamentals, coding and system-design skills employers test, the interview loop, pay and a 12-week plan.
- IdeasFinal year project ideas for computer science — with source code tips30 final year project ideas for CS students in AI, web, mobile, security, data and IoT — with difficulty, stack and source-code tips examiners notice.
- Career guidesML model evaluation interview questions in 2027: metrics, validation and the judgement that separates senior data scientistsML model evaluation interview questions for data science jobs in 2027: precision, recall, ROC-AUC, calibration, cross-validation, fairness, monitoring.
- Career guidesHow to get a data engineer job in 2027: pipelines, modelling and the system-design round that decides itHow to get a data engineer job in 2027: the SQL, Python and pipeline-design skills employers test, the interview loop, India and global pay, and a 12-week plan.
- Career guidesEdTech careers in 2027: how education technology works, learning platforms, evidence of impact, teacher adoption, data privacy for students, AI tutors, roles from content to product, and India's edtech landscapeEdTech careers in 2027: learning platforms, evidence of impact, teacher adoption, student data privacy, AI tutors and roles from content to product.
- Product managementAI product manager: what the role involves, the skills, salary signals and how to become oneWhat an AI product manager does, the skills that matter — evaluation, data, UX for uncertainty, risk — salary signals in India and how to get there.
Get the ideas, not the noise.
Sign up with Google and we’ll send you short UX psychology tips by email — why people tap, stall and leave, and what to do about it. Unsubscribe anytime. Prefer something to keep? Get the free Laws of UX guide as a PDF.
Founder, Science of Apps




