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If A^2 = A, then (I + A)^(4) is equal to...

If `A^2 = A`, then `(I + A)^(4)` is equal to

A

I+15 A

B

I + 7A

C

I +8A

D

I +11A

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
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  2. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  3. If a matrix A is both symmetric and skew-symmetric, then A is a dia...

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  4. Let A = [(2,-1),(3,4)], B = [(5,2),(7,4)] , C = [(2,5),(3,8)] . Let ...

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  5. If A^2 = A, then (I + A)^(4) is equal to

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  6. The matrix A = [(0,0,-7),(0,-7,0),(-7,0,0)] is a

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  7. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

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  8. Find the values of x, y, z if the matrix A=[0 2y z x y-z x-y z] sat...

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  9. Suppose A is square matrix such that A^(3) =I then (A+I)^(3) +(A-I)^...

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  10. The number of 3xx3 matrices A whose entries are either 0 or 1 and for ...

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  11. The number of 3 3 non-singular matrices, with four entries as 1 and ...

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  12. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

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  13. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  14. Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q...

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  15. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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  16. If P is a 3xx3 matrix such that P^T = 2P+I, where P^T is the transpose...

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  17. A=[[4, 3],[ 2 ,5]] find x and y such thatA^2-xA+yI=0

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  18. The system of equations ((3,-2,1),(5,-8,9),(2,1,a)) ((x),(y),(z))=((...

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  19. Suppose l+A is non-singular. Let B=(I+A)^(-1) and C=I-A , then ....(wh...

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  20. Let A = ((a,b),(c,d)) be such that A^(3)=O but Ane O then

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