If `B` is an idempotent matrix, and `A=I-B ,` then a. `A^2=A` b. `A^2=I` c. `A B=O` d. `B A=O`

" 1.If "B" is an idempotent matrix and "A=I-B" then "AB=

If A is an idempotent matrix, then show that B=l-A is also idempotent and AB=BA=0

If A,B,A+I,A+B are idempotent matrices,then AB is equal to BA b.-BA c.I d.O

If for the matrix A ,\ A^3=I , then A^(-1)= A^2 (b) A^3 (c) A (d) none of these

A square matix A is called idempotent if (A) A^2=0 (B) A^2=I (C) A^2=A (D) 2A=I

If Z is an idempotent matrix,then (I+Z)^(n)I+2^(n)Z b.I+(2^(n)-1)Z c.I-(2^(n)-1)Zd . none of these

If A is non-diagonal involuntary matrix,then A=I=O b.A+I=O c.A=I is nonzero singular d.none of these

If the matrix AB is zero,then It is not necessary that either A=O or,B=O (b) A=O or B=O( c) A=O and B=0 (d) all the above statements are wrong

Consider the following in respect of matrices A and B of same order: I. A^(2)-B^(2)=(A+B)(A-B) II. (A-I) (I+A)=0 rArr A^(2) =I Where I is the identity matrix and O is the null matrix. Which of the above is/are correct ?

Consider the following in respect of matrices A and B of same order : 1. A^(2)-B^(2)=(A+B)(A-B) 2. (A-I)(I+A)=0 harr A^(2)=I Where I is the identity matrix and O is the null matrix. Which of the above is/are correct ?