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If |–a b c; a –b c; a b –c| = kabc, then the value of k is :
For the matrix A = [2 -1 1; λ 2 0; 1 -2 3] to be invertible, the value of λ is :
If |A| = |kA|, where A is a square matrix of order 2, then sum of all possible values of k is
The value of |x+y, y+z, z+x; z, x, y; 1, 1, 1| is
If A and B are two square matrices of order 2 and |A| = 2 and |B| = 5, then |– 3AB | is :
If P = [[1, −1, 0], [2, 3, 4], [0, 1, 2]] and Q = [[2, 2, −4], [−4, 2, −4], [2, −1, 5]], find (QP) and hence solve the following system of equations using matrices: x − y = 3, 2x + 3y + 4z = 17, y + 2z = 7
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