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if A and B are two matrices such that AB...

if A and B are two matrices such that AB=B and BA=A,then `A^(2)+B^(2)` is equal to

A

2 AB

B

2BA

C

`A+B`

D

AB

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The correct Answer is:
C
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MOTION-MATRICES -Exercise - 1
  1. If A and B are square matrices of order 2, then (A+B)^2 =

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  2. If [(1,x,1)][(1,3,2),(0,5,1),(0,3,2)][(x),(1),(-2)]=[0] then x is

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  3. if A and B are two matrices such that AB=B and BA=A,then A^(2)+B^(2) i...

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  4. If A and B are two square matrices of same order satisfying AB=A and ...

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  5. If A=diag(2,-1,3), B=diag(-1,3,2)then A^(2)B

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  6. <b>a. Row Matrix :</b> Matrix of order 1 xx m is called <b>row matrix<...

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  7. If the matrix AB is a zero matrix, then which one of the following is ...

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  8. Which relation is true for A =[(2,-1),(-1,2)] and B=[(1,4),(-1,1)] (1)...

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  9. If A=[(a,b),(b,a)]and A^(2)=[(alpha,beta),(beta,alpha)], then -

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  10. If A and B are square matrices of order n xx n such that A^2-B^2=(A-B)...

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  11. If A=[(ab,b^2),(-a^2,-ab)], then A is

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  12. A = [[2,-1],[-7,4]] & B =[[4,1],[7,2]] then B^TA^T is :

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  13. If a non-singular matrix and A^(T) denotes the tranpose of A, then

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  14. If A is skew-symmetric matrix, then trace of A is

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  15. If A and B are symmetric matrices, then A B A is

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  16. If A is a skew-symmetric matrix and n is an even natural number,...

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  17. Which one of the following is wrong ?

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  18. [{:(,1,2),(,2,1):}],[{:(,1,2),(,2,1):}]

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  19. If A=[(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)], then adj ...

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  20. If A is a squqre matrix such that A^(2)=l, then A^(-1) is equal to

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