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Linear Algebra Questions

Practice 18 Linear Algebra questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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18
Total Questions
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0
Easy
๐ŸŸก
17
Medium
๐Ÿ”ด
1
Hard
Practice by Exam:Mathematics(18)

About Linear Algebra โ€” practice questions, PYQs & concepts

Linear Algebra is a frequently-tested topic on Mathematics. ExamTest.live currently lists 18 Linear Algebra questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year โ€” every answer key is free, no sign-up required.

Linear Algebra weight in competitive exams

Across our Linear Algebra question bank, the largest sources are Mathematics (18). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Linear Algebra questions are available โ€” build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right โ€” the explanation often surfaces a faster approach you can reuse.

All Linear Algebra Questions(1โ€“18 of 18)

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Q1mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
The number of matrices , with each element as a real number and satisfying and , is:
Q2mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
If the system of linear equations , and has a non-zero solution, then:
Q3hardmcqMathematicsMathematics Mock Test - 102026
18% accuracy
Given matrix and , the system of equations: has:
Q4mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If is a singular matrix, then is:
Q5mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If and , then is equal to:
Q6mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
The number of real values of for which the system of equations , , has an infinite number of solutions is:
Q7mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If are the roots of the equation , then the value of the determinant is:
Q8mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
The number of solutions of the following equations , , is:
Q9mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
Let where . Then the minimum value of is:
Q10mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If , , and , then
Q11mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If is a positive integer, then is equal to:
Q12mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If is a scalar and is a unit matrix of order , then
Q13mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
For what value of , the equations , and are consistent?
Q14mediummcqMathematicsMathematics Mock Test - 32026
The projection of a vector on another vector is:
Q15mediummcqMathematicsAIEEE 20122026
Let . If and are column matrices such that and , then is equal to:
Q16mediummcqMathematicsMathematics Mock Test - 112026
If and , such that (Zero matrix), find the values of and .
Q17mediummcqMathematicsMathematics Mock Test - 112026
Consider a system of linear equations: For what values of constant does the system have a unique solution?
Q18mediummcqMathematicsMathematics Mock Test - 112026
The system of linear equations,, has a unique solution if:

Frequently Asked Questions

How many Linear Algebra questions are on ExamTest.live?โ–ผ
We have 18 Linear Algebra questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Linear Algebra MCQs free?โ–ผ
Yes. All Linear Algebra questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Linear Algebra questions?โ–ผ
Linear Algebra questions are commonly asked in Mathematics. You can filter by exam using the links above.
How do I practice Linear Algebra questions effectively?โ–ผ
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.