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

If A and B are two matrices such that A B=A and B A=B , then B^2 is equal to (a) B (b) A (c) 1 (d) 0

If A and B are two matrices such that AB=A, BA=B, then A^25 is equal to (A) A^-1 (B) A (C) B^-1 (D) B

If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B)^2 is equal to a. A^2+B^2 b. O c. A^2+2A B+B^2 d. A+B

if Aa n dB are squares matrices such that A^(2006)=Oa n dA B=A+B ,t h e n"det"(B) equals 0 b. 1 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,B,C are non - singular matrices of same order then (AB^(-1)C)^(-1)=

If A and B are two square matrices of same order satisfying AB=A and BA=B, then B^2 is equal to (A) A (B) B (C) A^2 (D) none of these

If A is a non-singular matrix such that A A^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 B are two nxxn matrices such that |A|=|B| then (A) A\'=A (B) A=B (C) A\'=B\' (D) none of these

In triangle A B C ,/_A=30^0,H is the orthocenter and D is the midpoint of B Cdot Segment H D is produced to T such that H D=D Tdot The length A T is equal to a. 2B C b. 3B C c. 4/2B C d. none of these