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If A=[(1,0),(0,3)] and B=[(2,0),(0,1)]th...

If `A=[(1,0),(0,3)]` and `B=[(2,0),(0,1)]`then show `AB =BA =[(2,0),(0,3)]`

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MAHAVEER PUBLICATION-MATRIX-QUESTION BANK
  1. If ,A =[(1,2),(-2,4)],then -3A=[(-3,-6),(6,-12)]

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  2. Given A=[(1,4),(2,3)](2xx2) and B =[(1,4,2),(2,3,0)](2xx3), Find AB.

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  3. If A=[(1,0),(0,3)] and B=[(2,0),(0,1)]then show AB =BA =[(2,0),(0,3)]

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  4. If A=[(0,2),(0,3)] and B =[(2,5),(0,0)] then AB =[(0,0),(0,0)]

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  5. If A=[(1,2,5),(2,4,8)](2xx3) then A' = A^T=[(1,2),(2,4),(5,8)](3xx2)

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  6. Show that A=[(1,5,6),(5,2,7),(6,7,3)] is a symmetric matrix as A^T =A...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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