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Express [[1 2 3] [4 0 1] [-1 5 -2]] as a...

Express `[[1 2 3] [4 0 1] [-1 5 -2]]` as a sum of a symmetric and a skew symmeuic matrices.

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SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. If A=[{:(1,2,0),(0,1,3),(-2,5,3):}] then verify that A+A is symmetric ...

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  2. Show that [[0,1],[1,0]] is its own inverse.

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  3. Express [[1 2 3] [4 0 1] [-1 5 -2]] as a sum of a symmetric and a skew...

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  4. If underset(n)(I) is an identity matrix of order n, then k being a nat...

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  5. If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) bo...

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  6. IF [{:(3,5,3),(2,4,2),(lamda,7,6):}] is a singular matrix, then write ...

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  7. If [{:(3,2),(7,x):}][{:(5,-2),(-7,y):}]=[{:(1,0),(0,1):}] then find th...

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  8. If A is a square matrix of order 3 and |A|=3,then write the matrix rep...

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  9. If A be an invertible-matrix, then det (A^(-1)) is equal to.

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  10. The matrix A satisfying the equation [[1,3],[0,1]] A=[[1,1],[0,-1]], i...

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  11. How many entries are there in a 3xx4 matrix

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  12. If [[x,y]]+[[3,4]]=[[2,-1]]then what are the values of x and y?

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  13. Find a 2 xx 2 matrix A such that A+[[1,2],[1,1]]=[[2,0],[0,2]].

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  14. If A=[[2,3,4,5],[6,7,8,9],[1,-3,5,6]] then what is the order of A^T...

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  15. If 2[{:(3,4),(5,x):}]+[{:(1,y),(0,1):}]=[{:(7,0),(10,5):}], then find ...

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  16. Solve the following matrix equation for x [[x,1]] [[1,0],[-2,0]]=0.

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  17. If [[x-y,z],[2x-y,w]]=[[-1,4],[0,5]] then find the value of x+y.

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  18. If [{:(a+4,3b),(8,-6):}]=[{:(2a+2,b+2),(8,a-8b):}] then write the val...

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  19. Find the value of a if [[a-b,2a+c],[2a-b,3c+d]]=[[-1,5],[0,13]].

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  20. If 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]then find the value of x ...

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