If `Aa n dB` are two non-singular matrices such that `A B=C ,t h e n|B|` is equal to `(|C|)/(|A|)` b. `(|A|)/(|C|)` c. `|C|` d. none of these

If A,B are two n xx n non-singular matrices, then

"If B is a non -singular square matrix of order 3 such that |B|=1 then "det (B^-1) "is equal to (a) 1 (b) 0 (c)-1 (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 is a non singular square matrix then |adj.A| is equal to (A) |A| (B) |A|^(n-2) (C) |A|^(n-1) (D) |A|^n

If A and B are two nxxn matrices such that |A|=|B| then (A) A\'=A (B) A=B (C) A\'=B\' (D) none of these

For a non singular matrix A of order n the rank of A is (A) less than n (B) equal to n (C) greater than n (D) none of these

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 is a non-singular matrix such that AA^(T)=A^(T)A and B=A^(-1)A^(T), the matrix B is a.involuntary b.orthogonal c.idempotent d. none of these

If A and Bare two non-zero square matrices of the same order, such that AB=0, then (a) at least one of A and B is singular (b) both A and B are singular (c) both A and B are non-singular (a) none of these

If AandB are two nonzero square matrices of the same ordr such that the product AB=O , then (a) both A and B must be singular (b) exactly one of them must be singular (c) both of them are non singular (d) none of these