A square matrix A is invertible if `det(A)` is equal to (A) -1 (B) 0 (C) 1 (D) none of these

If A is an invertible matrix then det(A^-1) is equal to (A) 1 (B) 1/|A| (C) |A| (D) none of these

If A is an invertible matrix then det(A^-1) is equal to (A) 1 (B) 1/|A| (C) |A| (D) none of these

If for a square matrix A,A^2=A then |A| is equal to (A) -3 or 3 (B) -2 or 2 (C) 0 or 1 (D) none of these

A square matrix A is said to be invertible if and only if A is a

If A^3 =O, then I+ A + A^2 = (where I is the unit matrix of order same as that of square matrix A) is equals (A) I -A (B) (I-A)^-1 (C) (I+A) (D) none of these

If A and B are square matrices of the same order and AB=3I, then A^-1 is equal to (A) 1/3 B (B) 3B^-1 (C) 3B (D) none of these

‘A’ is any square matrix, then det |A-A^T| is equal to :

If A is a non singular matrix of order 3 then |adj(adjA)| equals (A) |A|^4 (B) |A|^6 (C) |A|^3 (D) none of these

If A,B and C be the three square matrices such that A=B+C then det A is necessarily equal to (A) detB (B) det C (C) det B+detC (D) none of these

If A=[(1,1),(1,0)] and n epsilon N then A^n is equal to (A) 2^(n-1)A (B) 2^nA (C) nA (D) none of these