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If `A` is a square matrix such that `A^2=A ,t h e n(I+A)^3-7A` is equal to `A` (b) `I-A` (c) `I` (d) `3A`

A

A

B

`I-A`

C

I

D

3A

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-MATRICES-Objective Type Questions (A. Multiple Choice Questions)
  1. If A=[alphabetagammaalpha]is such that A^2-I, then(A) 1+alpha^2+betag...

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

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  3. If A is a square matrix such that A^2=A ,t h e n(I+A)^3-7A is equal to...

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  4. The matrix A=[(0,0,5),(0,5,0),(5,0,0)] is a :

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  5. If matrix A=[a(ij)](2xx2^(,)) where a(ij)=1" if "i!=j =0" if "i=j th...

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  6. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

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  7. If A is a matrix of order mxxn and B is a matrix such that A B^T and B...

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  8. For any two matrices A and B , we have

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  9. Suppose P and Q are two different matrices of order 3xx n and n xx p,...

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  10. If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then A+A'=I, if the v...

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

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  12. For any square matrix A,(A-A') is :

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  13. If A,B are symmetric matrices of same order, then AB-BA is a :

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  14. If A=[(4,2,3),(1,5,7)] and B=[(1,3,7),(0,4,1)], then 2A+B is :

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  15. If order of matrix A is 2xx3 and order of matrix B is 3xx5, then order...

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  16. If A and B are invertible matrices of the same order, then (AB)^(-1) i...

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  17. If the matrices [(3x+7,5),(y+1,2-3x)]=[(5,y-2),(8,4)], then the values...

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  18. Let A=[(0,2),(0,3)] and B=[(2,3),(0,0)], then AB equals :

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  19. If A is square matrix such that |A| ne 0 and A^2-A+2I=O " then " A^(-1...

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  20. The value of 'k' such that the matrix ((1,k),(-k,1)) is symmetric is :

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