Linear Algebra & Matrices
JKSSB Sub-Inspector (Telecommunication) · Engineering Mathematics & Signal Fundamentals · 14 practice questions with answers and explanations: 4 Easy, 6 Medium, 4 Hard.
Sample questions
Sample Easy question 1
What is the rank of a matrix?
- The maximum number of linearly independent rows or columns
- The number of rows only
- The sum of diagonal elements
- The determinant value
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Answer: A. Rank measures the dimension of the vector space spanned by a matrix's rows or columns.
Sample Medium question 2
If a 3×3 matrix has determinant zero, what can be said about its rank?
- Its rank is less than 3
- Its rank is exactly 3
- Its rank is always 0
- Its rank cannot be determined
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Answer: A. A zero determinant means the matrix is singular, so its rank must be less than its full size (3).
Sample Hard question 3
Find the eigenvalues of the diagonal matrix [[2,0],[0,3]].
- 1 and 2
- 2 and 3
- 0 and 5
- 2 and 2
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Answer: B. For a diagonal matrix, the eigenvalues are simply the diagonal entries: 2 and 3.