Matrices — practice questions
11 curated practice questions from Matrices (Mathematics Class 12, CBSE) — 4 hard, 3 easy, 4 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.
- If A = bmatrix 1 & -1 a & -1 bmatrix , B = bmatrix 1 & 1 b & -1 bmatrix and (A+B)^2 = A^2 + B^2 , then find the…
- Assertion (A): If a matrix has 28 elements then 7 4 will be its possible order. Reason (R): For m n matrix, the number…
- If A is a 5 4 matrix, B is a 4 6 matrix and C is a 6 7 matrix, then the number of entries in ABC matrix is:
- If A + 2B = bmatrix 4 & 10 -1 & 12 bmatrix and 2A - 3B = bmatrix 1 & -1 12 & -11 bmatrix . Find A and B .
- If A = bmatrix 4 & 3 2 & -1 bmatrix then prove that A^2 - 3A - 10I = O . Use this result to find A^4 .
- If A = bmatrix & - & 0 & & 0 0 & 0 & 1 bmatrix and A^2 = bmatrix 2 & - 2 & 0 2 & 2 & 0 0 & 0 & 1 bmatrix , then =
- Construct a 3 3 matrix, A = [a_ ij ] , whose entries are given by a_ ij = 3j - 2i .
- If A = bmatrix 1 & 2 0 & 1 bmatrix , B = bmatrix 2 & 3 0 & 2 bmatrix , prove that (A + B)^2 = A^2 + 2AB + B^2 .
- If A = bmatrix 1 & 1 & 1 1 & 2 & 1 0 & 1 & 1 bmatrix , B = bmatrix 1 & -1 & 1 0 & 1 & -1 -1 & 0 & 1 bmatrix , then AB'…
- Assertion (A): If A = bmatrix 2 & -1 -1 & 2 bmatrix , B = bmatrix 3 & 5 0 & 3 bmatrix , then AB - BA is 5 bmatrix 1 & 0…
- If A = bmatrix 3x & y 1 & 2 bmatrix , B = bmatrix -1 & x y & -1 bmatrix , and AB' = bmatrix 0 & 0 2x-1 & y-2 bmatrix …