Let `A` and `B` be two `2xx2` matrices. Consider the statements (i) `A B=0 => A=0 or B=0` (ii)`AB=I_2 => A=B^(-1)` (a) only (i) (b) only (ii) (c) both are correct (d) none of these.

Let Aa n dB be two 2xx2 matrices. Consider the statements (i) A B=O => A=OorB=O (ii) A B=I_2 =>A=B^(-1) (iii) (A+B)^2=A^2+2A B+B^2 (a)(i) and (ii) are false, (iii) is true (b)(ii) and (iii) are false, (i) is true (c)(i) is false (ii) and, (iii) are true (d)(i) and (iii) are false, (ii) is true

Let A and B be two 2 xx 2 matrix with real entries, If AB=0 and such that tr(A)=tr(B)=0then

If A dn B be 3xx3 matrices the AB=0 implies (A) A=0 or B=0 (B) A=0 and B=0 (C) |A|=0 or |B|=0 (D) |A|=0 and |B|=0

If A= [(1,0,1), (0,0,1),(a,b,2)] , then a I+b A+2A^2 equals (a) A (b) - A (c) a b\ A (d) none of these

Let A ,B be two matrices such that they commute, then for any positive integer n , (i) A B^n=B^n A (ii) (A B)^n =A^n B^n

In Figure, which of the following statements must be true? (i) a+b=d+c (ii) a+c+e=180^0 (iii) b+f=c+e (a) (i) only (b) (ii) only (c) (iii) only (d) (ii) and (iii) only

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

6.If A and B are matrices with AB=0 and BA=0 ,then a) A=0 or B=0 b) Either A=0 or B=0 c) A=0 and B=O d) None of these.

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

Let a and b be two real numbers such that a > 1, b >1. If A=((a,0),(0,b)), then (lim)_(n->oo) A^-n is (a) unit matrix (b) null matrix (c) 2I (d) non of these