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

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

A

skew-symmetric matrix

B

symmetric matrix

C

diagonal matrix

D

None of these

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The correct Answer is:
B
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DISHA PUBLICATION-MATRICES-Exercise 1: Concept Builder (Topic 3)
  1. If A=[(cosx,-sinx),(sinx,cosx)], then AA^(T) is

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

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  3. Which of the following is correct?

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

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

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

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

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

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

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  10. Which one of the following is wrong?

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

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

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

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  14. Orthogonal matrix

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

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

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

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  18. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),...

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  19. If A=[(2,1),(0,x)] and A^(-1)=[(1/2,1/6),(0,1/x)], then the value of x...

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  20. If P is a two-rowed matrix satisfying P' = P^(-1), then P can be

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