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Let A and B are two square matrices such...

Let A and B are two square matrices such that `AB = A and BA = B`, then `A ^(2)` equals to : a)B b)A c)I d)O

A

B

B

A

C

I

D

O

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If A and B are square matrices of the order and if A=A^(T),B=B^(T) , then (ABA)^(T) is equal to a) BAB b) ABA c)ABAB d) AB^(T)

    A
    BAB
    B
    ABA
    C
    ABAB
    D
    `AB^(T)`

  • If A is an 3 xx 3 non - singular matrix such that AA'= A'A and B = A^(-1) A' , then BB' equals a)I + B b)I c) B^(-1) d) (B^(-1))

    A
    I + B
    B
    I
    C
    `B^(-1)`
    D
    `(B^(-1))`

  • A and B are two non - singular matrices such that A^(6) = I and AB^(2) = BA( B != I) . A value of k so that B^(k) = I is a)31 b)32 c)64 d)63

    A
    31
    B
    32
    C
    64
    D
    63

    • Similar Questions

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    Suppose A and B are two symmetric matrices. Prove that (AB)^T = BA

    If A is a square matrix such that A^2=A , then (I+A)^3-7 A is equal to A) A B) I-A C) I D) 3A

    Given A and B are square matrices of order 2 such that absA=-1 , absB=3 . Find abs(3AB) .

    If A and B are symmetric matrices of the same order the X = AB + BA and Y = AB-BA, then XY^(T) is equal to a)XY b)YX c) -YX d)None of these

    If A and B are square matrices of the same order such that A^(2)= A, B^(2) = B, AB = BA = O , then a) (A - B)^(2) = B - A b) (A- B)^(2) = A - B c) (A + B)^(2) = A + B d)None of these

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