Matrices questions
472 published questions with worked solutions.
- Given A= bmatrix x&3&2 1&y&4 2&2&z bmatrix , if xyz=60 and 8x+4y+3z=20, then A( adj A) is equal to
- If A= bmatrix 2&3 -4&1 bmatrix , then adj (3A^ 2 +12A ) is equal to
- If A = bmatrix 2a & -3b 3 & 2 bmatrix and A adj A = AA^T, then 2a + 3b
- If the matrix A= bmatrix 1&2 -5&1 bmatrix and A^ -1 =xA+yI, where I is a unit matrix of order 2, then the value of 2x + 3y is
- The element in 1^ st row and 2^ nd column of the inverse of the matrix bmatrix 1&3&-2 -3&0&-5 2&5&0 bmatrix is….
- If A= bmatrix &- - & bmatrix , (0, 2 ) such that A+AdjA=4I, then =
- If A= bmatrix 2&0&-1 5&1&0 0&1&3 bmatrix _ 3 3 and A^ -1 = bmatrix &-1&1 &6&-5 &-2&2 bmatrix _ 3 3 , then | |= _____ (where | . |...
- Let A= bmatrix -5&-3 2&1 bmatrix . The Row transformation R_1 R_1+3R_2 will transform matrix A into
- If A = c bmatrix 1& x - x&1 bmatrix , then A^T A^ -1 =
- If A = bmatrix 1 & -1 2 & -1 bmatrix , B = bmatrix 1 & 1 4 & -1 bmatrix , then (A + B)^ -1 is
- Let A= bmatrix 2&-1 0&2 bmatrix . If B=1- ^3C_1(adjA)+ ^3C_2(adjA)^2- ^3C_3(adjA)^3, then the sum of all elements of the matrix B...
- The element in the third row and the second column in the inverse matrix of a matrix bmatrix 1&3&3 3&1&3 3&3&4 bmatrix is
- If A= bmatrix 3&1 -1&2 bmatrix , C= bmatrix 7&3 0&6 bmatrix and AB = C, then the inverse of matrix B is
- If A= bmatrix &- & bmatrix , then the matrix A^ -3 when = 6 is equal to...
- Let A= bmatrix 2k-1&1&1 0&2k-1&1 0&0&2k-1 bmatrix and B= bmatrix 0&2k-1&1 1-2k&0&k -1&-k&0 bmatrix where k is a real number. If (...
- If A= bmatrix 2&-1 0&2 bmatrix and A^2+xA+yI_2=O_2, where I_2 and O_2 are the identity matrix and null matrix of order 2...
- If A=[a_ ij ]_ 3 3 is a matrix such that a_ ij =|2i-5j|, where | | denotes the modulus function, then the element in the 2nd row...
- If A= bmatrix 2&3 5&-2 bmatrix , B^ -1 = bmatrix 15& 25 25&- 15 bmatrix , then (AB)^ -1 =
- If A= bmatrix 5a & -b 3 & 2 bmatrix and A( adj A)=AA^T, Then 5a+b=
- Inverse of bmatrix 3&-2 1&4 bmatrix is
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