Matrices questions
472 published questions with worked solutions.
- The number of 3 × 3 non-singular matrices, with four entries as 1 and all other entries as 0 , is
- Let A be a 2 × 2 matrix with non-zero entries and let A^2 = 1, where 1 is 2 × 2 identity matrix. Define Tr(A) = sum of diagonal...
- Consider the system of linear equations: x_1 + 2x_2 + x_3 = 3 2x_1 + 3x_2 + x_3 = 3 3x_1 + 5x_2 + 2x_3 = 1 The system has
- Let A and B be two symmetric matrices of order 3 . This question has Statement −1 and Statement −2. Of the four choices given...
- Let X= bmatrix a bmatrix , A= bmatrix 1&-1&2 2&0&1 3&2&1 bmatrix and B= bmatrix 3 1 4 bmatrix . If AX=B, then the value of...
- If A= bmatrix 3&-1 -4&2 bmatrix , then A^ -1 is
- If A= bmatrix 2&-2 4&3 bmatrix , then A^ -1 =
- Let A = bmatrix 1 & 2 -5 & 1 bmatrix and A^ -1 = xA + yI_2, (where I_2 is unit matrix of order 2), then
- Suppose A is any 3 x 3 non-singular matrix and (A-3I) (A-5I) = O where I=I_3 and O=O_3. Here O_3 represent zero matrix of order 3...
- If bmatrix 1&1&1 1&-2&-2 1&3&1 bmatrix bmatrix x bmatrix = bmatrix 0 3 4 bmatrix , then 2x-y+z=
- If A= bmatrix 3&2 0&1 bmatrix , then (A^ -1 )^3=
- A= bmatrix 1&-1&1 2&-1&0 3&3&-4 bmatrix , adj A= bmatrix 4&-1&1 8&-7&a 9&-6&b bmatrix , then
- If A= bmatrix 1&-1&1 0&2&-3 2&1&0 bmatrix and B= adj A, C=5A, then | adj B| |C| =
- If A= bmatrix 2&-3 5&-7 bmatrix , then A-A^ -1 =
- If A= bmatrix 2&-1 -1&2 bmatrix such that A^2-4A+3I=0 where I is a unit matrix of order 2, then A^ -1 is
- If bmatrix 2&1 3&2 bmatrix A bmatrix -3&2 5&-3 bmatrix = bmatrix 1&0 0&1 bmatrix , then A=
- If matrix A= bmatrix 1&2 4&3 bmatrix is such that AX=I, where I is 2 2 unit matrix, then X=
- If A = bmatrix 1 & 2 & 3 1 & 3 & 4 3 & 4 & 3 bmatrix , then A^ -1 =
- If A = bmatrix 1 & 3 & -2 -3 & 0 & -5 2 & 5 & 0 bmatrix and A (adj A) = KI, then the value of K is (where I is unit matrix of...
- The element in the third row and second column of the inverse of the matrix bmatrix 3&2&6 1&1&2 2&2&5 bmatrix is
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