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If A is skew-symmetric and B=(I-A)^(-1)(...

If A is skew-symmetric and `B=(I-A)^(-1)(I+A)`, then B is

A

B is orthogonal

B

B is skew symmetric

C

`B^(2) = O`

D

B is a diagonal matrix

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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. Let A and B be two 3xx3 matrices such that A+B = 2 B' and 3A + 2B= I ...

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  2. If A and B are two nonzero square matrices of the same order such that...

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  3. If A is skew-symmetric and B=(I-A)^(-1)(I+A), then B is

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  4. Let a(n)=3^(n)+5^(n), nin N and let A=((a(n),a(n+1),a(n+2)),(a(n+1)...

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  5. First row of a matrix A is [1,3,2]. If adj A=[(-2,4,alpha),(-1,2,1),...

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  6. Suppose ABC is a triangle with sides a,b ,c and semiperimeter s. Then ...

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  7. The number of matrices A = [(a,b),(c,d)] ( where a,b,c,din R ) such...

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  8. Let A be a 3xx3 matrix with entries from the set of numbers, If the sy...

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  9. A=[{:(a,b),(b,-a):}] and MA=A^(2m), m in N for some matrix M, then whi...

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  10. Let A=[(a,b),(c,d)]be a 2 xx 2 matrix, where a, b, c, d take value 0 t...

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  11. Find the inverse of each of the matrices given below : Let D= "dia...

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  12. The inverse of a symmetric matrix ( if it exists ) is

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  13. Prove that inverse of a skew-symmetric matrix (if it exists) is skew-s...

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  14. The inverse of a skew symmetric matrix of odd order is a symmetric mat...

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  15. If A is an orthogonal matrix, then

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  16. If A = [(1,0,2),(5,1,x),(1,1,1)] is a singular matrix then x is equal ...

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  17. Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(...

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  18. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

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  19. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

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  20. If A, B, and C are three square matrices of the same order, then AB=AC...

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