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If A=[(6,8,5),(4,2,3),(9,7,1)] is the su...

If `A=[(6,8,5),(4,2,3),(9,7,1)]` is the sum of a symmetric matrix B and skew-symmetric matrix C, then B is

A

`[(6,6,7),(6,2,5),(7,5,1)]`

B

`[(0,2,-2),(-2,5,-2),(2,2,0)]`

C

`[(6,6,7),(-6,2,-5),(-7,5,1)]`

D

`[(0,6,-2),(2,0,-2),(-2,-2,0)]`

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DISHA PUBLICATION-MATRICES-Exercise 1: Concept Builder (Topic 3)
  1. If A=[(6,8,5),(4,2,3),(9,7,1)] is the sum of a symmetric matrix B and ...

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  2. If A and B are square matrices of the same order and if A =A^(T),B=B^(...

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  3. Which of the following is/are correct ?

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  4. If A=[(cosx,-sinx),(sinx,cosx)], then AA^(T) is

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  5. If A is symmetric as well as skew-symmetric matrix, then A is

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  6. Which of the following is correct?

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  7. The element a(ij) of square matrix is given by a(ij)=(i+j)(i-j) then m...

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  8. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

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  9. Consider the matrix A=[(4,1),(1,5)] on applying elementary row operati...

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  10. if A and B are matrices of same order, then (AB'-BA') is a 1) null mat...

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  11. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

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  12. For any square matrix A,A A^(T) is a

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  13. Which one of the following is wrong?

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  14. If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are ...

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  15. h1. If C is skew-symmetric matrix of order n and X is nxx1 column matr...

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  16. If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b...

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  17. Orthogonal matrix

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  18. A = [[2,-1],[-7,4]] & B =[[4,1],[7,2]] then B^TA^T is :

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  19. If {:A=[(costheta,-sintheta),(sintheta,costheta)]:},"then" A^T+A=I2, i...

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  20. Using elementary row transformations, find the inverse of the matrix A...

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