CBSE Class 12 · Mathematics

Matrices and determinants

17 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 17 questions

  1. Find the determinant of the diagonal matrix .
  2. Find the determinant of the diagonal matrix .
  3. Find the determinant of the diagonal matrix .
  4. Find the determinant of the diagonal matrix .
  5. Find the determinant of the diagonal matrix .
  6. Find the determinant of the diagonal matrix .
  7. Find the trace (sum of the diagonal elements) of .
  8. Find the trace (sum of the diagonal elements) of .
  9. Find the trace (sum of the diagonal elements) of .
  10. Find the trace (sum of the diagonal elements) of .
  11. Find the trace (sum of the diagonal elements) of .
  12. Find the trace (sum of the diagonal elements) of .
  13. If A is a square matrix of order 3 such that |A| = 4, what is the value of |2 adj(A)|?
  14. For what value of x is the matrix A = [[x + 1, -3], [4, x - 6]] singular?
  15. If A and B are symmetric matrices of the same order, then the matrix (A B - B A) is always:
  16. If A is an invertible matrix of order 3 such that A^2 = 3A, what is the determinant of A?
  17. Find the inverse of the diagonal matrix D = diag(2, -3, 5).

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