Matrices questions
472 published questions with worked solutions.
- If A is non-singular matrix of order 3 such that (A-2I)(A-4I)=0, then 16A+ 43A^ -1 is (where I is a unit matrix of order 3 and 0...
- If (BA)^ -1 =C where B= bmatrix 2&6&4 1&0&1 -1&1&-1 bmatrix and C= bmatrix -1&0&1 1&1&3 2&0&2 bmatrix , then A^ -1 is given by
- If |A| = -3 and A^ -1 = bmatrix 1&0&0 -1& 1 3 &0 3& 2 3 &-1 bmatrix , then ( adj A) is
- If matrix A= bmatrix 1&2 3&5 bmatrix and A^ -1 = I+ A where I is a unit matrix of order 2 and , are constant, then the value of +...
- Let A = bmatrix 1 & 1 & 1 0 & 1 & 3 1 & -2 & 1 bmatrix , B = bmatrix 6 11 0 bmatrix and X = bmatrix a b c bmatrix , if AX = B,...
- If A= bmatrix 2&-1 -1&3 bmatrix , then the inverse of (2A^2+5A) is
- For the matrix A = bmatrix 2 & 0 & -1 3 & 1 & 2 -1 & 1 & 2 bmatrix , the matrix of cofactors is
- If A= bmatrix 1&1&1 1&a&3 3&2&2 bmatrix and B= bmatrix -2&0&b 7&-1&-2 &1&1 bmatrix and if matrix B is the inverse of matrix A,...
- If B = bmatrix 3 & a & -1 1 & 3 & 1 -1 & 1 & 3 bmatrix is the adjoint of a 3 3 matrix A, |A| = 4, then a is equal to
- If B= bmatrix 1& &2 1&2&2 2&3&3 bmatrix is the adjoint of a 3 3 matrix A and |A|=5, then is equal to
- If A= bmatrix 5a&-b 3&2 bmatrix and A adj A=AA^T, then 5a+b is equal to
- If A+B= bmatrix 1& 2 - 2 &1 bmatrix where A is symmetric and B is skew-symmetric matrix, then the matrix (A^ -1 B+AB^ -1 ) at = 6...
- If A= bmatrix 1&a&3 1&1&5 2&4&7 bmatrix and A^ -1 = bmatrix 13&2&-7 -3&b&2 -2&0&1 bmatrix , then the values of a and b are...
- If A = bmatrix 2 & -3 4 & 1 bmatrix , then A + adj A is
- If A = bmatrix 2i & i^3 i^2 & 1 bmatrix , then A^ -1 is equal to
- If A = 1 2 bmatrix -1 & - 3 3 & -1 bmatrix then A^ -1 - A^2 is not
- If A= bmatrix i&1 1&0 bmatrix where i= -1 and B=A^ 2029 , then B^ -1 =
- If A= bmatrix 2&1 7&4 bmatrix then (A^ 2 -5A)^ -1 is
- Let A= bmatrix 1&-1&1 2&1&-3 1&1&1 bmatrix and B= bmatrix 4 0 2 bmatrix such that AX = B, then X =
- If A= bmatrix 1&2&1 3&1&3 bmatrix and B= bmatrix 2&3 1&2 1&2 bmatrix , then (AB)^ -1 =
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