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If A,B are symmetric matrices of same or...

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

A

Skew-Symmetric matrix

B

Symmetric matrix

C

Identity matrix

D

Zero matrix

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MAXIMUM PUBLICATION-MATRICES-EXAMPLE
  1. If X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]] then Find X and Y.

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  2. If X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]] then Find 2X+Y .

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

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  4. For the matrix A=[[2,4],[5,6]] , verify that A+A^T is a symmetric mat...

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  5. Consider the matrix A=[[3,-2],[4,-2]] Find A^2

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  6. Consider the matrix A=[[3,-2],[4,-2]] find k so that A^2=kA-2I

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  7. find the value of x and y from the equations a[[x,5],[7,y-3]]+[[3,-4...

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  8. Given A=[[1,2],[3,-1],[4,2]] , B=[[-1,4,-5],[2,1,0]] Show that ABneB...

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  9. Find a,b matrix [[0,3,a],[b,0,-2],[5,2,0]] is skew symmetric matrix...

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  10. Express A=[[7,3,-5],[0,1,5],[-2,7,3]] as the sum of a symmetric and a ...

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  11. Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] F...

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  12. Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] F...

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  13. Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] F...

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  14. The value of k such that matrix [[1,k],[-k,1]] is symmetric if

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  15. If A=[[costheta,sintheta],[-sintheta,costheta]] then prove that A^2...

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  16. If A=[[1,3],[4,1]] , then find abs(3A^T)

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  17. Let A be a matrix of order 3xx3 whose elements are given by a(ij)=2i-j...

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  18. Let A be a matrix of order 3xx3 whose elements are given by a(ij)=2i-j...

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  19. Consider a 2xx2 matrix A=[a(ij)] with a(ij)=2^i+j Construct A.

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  20. Consider a 2xx2 matrix A=[a(ij)] with a(ij)=2^i+j Find A+A^T , A-A...

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