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For any square matrix A,prove that A+A' ...

For any square matrix A,prove that `A+A' is symmetric.

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BODY BOOKS PUBLICATION-MATRICES-EXERCISE
  1. Express A=[(1,-1),(2,3)] as the sum of a symmetric matrix and a skew s...

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  2. Let A=[a(ij)](2times3) where a(ij=i+j. construct A.

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  3. For any square matrix A,prove that A+A' is symmetric.

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  4. If A is a skew symmetric matrix of order 3. Then prove that it's deter...

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  5. Given abs [[2+x,3,4],[1,-1,2],[x,1,5]] is a singular matrix. Find the ...

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  6. Given A and B are square matrices of order 2 such that absA=-1, absB=3...

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  7. For the symmetric matrix A=[(2,x,4),(5,3,8),(4,y,9)].Find the value of...

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  8. If A=[(3,1),(-1,2)] . Show that A^2-5A+7I=0 Hence find A^4 and A^-1 ...

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  9. Using elementary row operations, find the inverse of the matrix [[1,...

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  10. Find x and y if x[[2],[3]]+y[[-1],[1]]=[[10],[5]]

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  11. Express the matrix [[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a ...

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

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

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

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  15. If A=[[0,1],[0,0]] ,B=[[1,0],[0,0]], then BA=

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  16. Write A=[[3,5],[1,-1]] as the sum of a symmetric and a skew symmetric ...

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  17. Find the inverse of A=[[2,-6],[1,-2]]

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  18. Choose the correct statement related to the matrices A=[[1,0],[0,1]]...

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  19. IfM=[[7,5],[2,3]],then verify the equation M^2-10M+11I2=0

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  20. Consider the matrices A=[[1,-2],[-1,3]] and B=[[a,b],[c,d]] If AB=...

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