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If A is square matrix such that A^(2)=A,...

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

A

A

B

I-A

C

I

D

3A

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The correct Answer is:
C
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. If the matrix A is both symmetric and skew symmetric, then

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

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  4. Matrices A and B will be inverse of each other only if

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

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  6. If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I, the...

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  7. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

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  8. If X and Z are of order 2xx n and 2xx p respectively and n=p then, 7 X...

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  9. Prove that {:|( b+c,a,a), ( b,c+a,b),( c,c,b+a) |:} = 4abc

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  10. Delta=[[1,1+ac,1+bc],[1,1+ad,1+bd],[1,1+ac, 1+bc]]

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  11. If (1)/(a)+(1)/(b)+(1)/(c)=0 then |[1+a, 1, 1 ],[1, 1+b, 1],[1,1,1+c]|...

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  12. If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1]...

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  13. The value of the determinant : |(1,1,1),(""^mC1,""^(m+1)C1,""^(m+2)C...

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  14. If a , b, c are all different from zero and |(1+a,1,1),(1,1+b,1),(1,...

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  15. |[77,78,79],[76,75,74],[75,74,73]|=

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  16. Delta=|[x+a,b,c],[b,x+c, a],[c,a, x+b]| which of the following is a fa...

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  17. If D=[[1,a,b],[1,b,c],[1,c,a]], then [[a,b,c],[b,c,a],[1,1,1]]=

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  18. The value of the determinant |[a1, la1+mb1, b1],[a2, la2+mb2, b2],[a3,...

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  19. If omega is a complex cube root of unit, then the value of the determi...

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  20. If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value o...

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