Matrices A and B will be inverse of each other only if (A) `A B" "=" "B A` (B) `A B" "=" "B A" "=" "0` (C) `A B" "=" "0," "B A" "=" "I` (D) `A B" "=" "B A" "=" "I`

Matrices A and B will be inverse of each other oolly if (A) AB=BA(B)AB=BA=0(C)AB=0,BA=I(D)AB=BA=I

If A and B are any two events such that P(A)" "+" "P(B)" "-" "P(A" "a n d" "B)" "=" "P(A) ? then (A) P(B" "|" "A)" "=" "1 (B) P(A" "|" "B)" "=" "1 (C) P(B" "|" "A)" "=" "0 (D) P(A" "|" "B)" "=" "0

Let A and B are two matrices then which of the following is always true? (i) A+B=B+A (ii)A+B=B-A (iii)A-B=B-A (iv) AB=BA

If A and B are square matrices of same order, then (i) A+B=B+A (iv) A+B=A-B (iii) A-B=B-A( iv) AB=BA

A and B are two non-singular square matrices of each 3xx3 such that AB = A and BA = B and |A+B| ne 0 then

If A^(2)-A+ I =0 then the inverse of A is - (a) I-A (b) A-I (c) A (d) A+I

If A^(2)-A+I=0, then the inverse of A is: (A) A+I (B) A(C)A-I (D) I-A

If A and B are square matrices of order 3 then (A) AB=0rarr|A|=0 or |B|=0 (B) AB=0rarr|A|=0 and |B|=0 (C) Adj(AB)=Adj A Adj B (D) (A+B)^-1=A^-1+B^-1

In triangle ABC (Figure), which of the following is not true: (A) -> A B+ -> B C+ -> C A= ->0 (B) -> A B+ -> B C- -> A C= ->0 (C) -> A B+ -> B C- -> C A= ->0 (D) -> A B- -> C B+ -> C A= ->0

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