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Express the matrix [[3,5],[1,-1]] as the...

Express the matrix `[[3,5],[1,-1]]` as the sum of a symmetric and a skew symmetric matrix.

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MAHAVEER PUBLICATION-MATRIX-QUESTION BANK
  1. Show that A=[(1,5,6),(5,2,7),(6,7,3)] is a symmetric matrix as A^T =A...

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  2. Prove that A=[(0,1,2),(-1,0,3),(-2,-3,0)] is a skew symmetric matrix ...

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  3. Express the matrix [[3,5],[1,-1]] as the sum of a symmetric and a skew...

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  4. If A is a matrix of order 3xx7and B is a matrix of order 7xx3 then wh...

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  5. Given that, A=(aij)(3xx3) =[(1,6,-1),(5,2,7),(1,3,-5)](3xx3) then find...

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  6. Given that, A=(aij)(3xx3) =[(1,6,-1),(5,2,7),(1,3,-5)](3xx3) then find...

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  7. Given that,A=(aij)(3xx3) =[(1,6,-1),(5,2,7),(1,3,-5)](3xx3) then find ...

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  8. If A =[(1,-1),(2,5)] and B=[(-2,2),(3,1)] then find the values 2A+5B

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  9. If A =[(1,-1),(2,5)] and B=[(-2,2),(3,1)] then find the values A^2-2B^...

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  10. If A =[(1,-1),(2,5)] and B=[(-2,2),(3,1)] then find the values BA+2l, ...

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  11. If A=[(2,-1),(3,2)](2X2) and B=[(1,-1),(2,1)](2xx2)] Find AB.

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  12. In the matrix A=[(2,-1,3),(4,6,1) ],write the order of the matrix

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  13. In the matrix A=[(2,-1,3),(4,6,1) ],write the elements, what are the p...

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  14. If a matrix has 12 elements, what are the possible order in can have ?

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  15. Construct a2xx2 matrix A whose elements are given by a(ij)=2i+j

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  16. Construct a2xx2 matrix A whose elements are given by a(ij)=1/2(i-2j)^2

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  17. Construct a2xx2 matrix A whose elements are given by a(ij)=1/2|-3i+j|

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  18. If [(a+b ,2),(5,ab)]=[(6,2),(5,8)], Find the values of a and b.

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  19. Find x,y,a and b if[(2x+3y,a+b,8),(1,4x+y,3a-4b)]=[(7,1,8),(1,9,10)].

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  20. Find the number of all possible matrices of order 3xx3 with each entry...

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