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Express matrices as the sum of a symmetr...

Express matrices as the sum of a symmetric and skew symmetric matrix `[(1,5),(-1,2)]`

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`[(1,5),(-1,2)]=[(1,2),(2,2)]+[(0,3)(-3,0)]`
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MAHAVEER PUBLICATION-MATRIX-QUESTION BANK
  1. If [(a+b ,2),(5,ab)]=[(6,2),(5,8)], Find the values of a and b.

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

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  4. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find each of the ...

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  5. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find each of the ...

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  6. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find AB

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  7. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find BA

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  8. Find the product of [(a,b),(-b,a)][(a,-b),(b,a)]

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  9. Find the product of [(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)]

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  10. Find the product of [(2,3,4),(3,4,5),(4,5,6)][(1,-3),(0,2),(3,0)]

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  11. Find X and Y ,ifX+Y =[(7,0),(2,5)] and X-Y= [(3,0),(0,3)]

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  12. Find X and Y ,if 2X + 3Y = [(2,3),(4,0)] and 3X+2Y=[(2,-2),(-1,5)]

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  13. Find ,A^2-5A+6l, ifA = [(2,0,1),(2,1,3),(1,-1,0)].

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  14. Find the transpose of matrices [(1,3,7),(4,2,3)]

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  15. Find the transpose of matrices : [(3),(0),(5)]

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  16. If A^T=[(-2,3),(1,2)] and B =[(-1,0),(1,2)],then find (A +2B)^T.

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  17. Find the value of x if A+A^T=I, where A=[(cos x,- sinx),(sinx, cosx)]...

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  18. If AB are symmetric matrices of same order then show that AB-BA is a s...

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  19. Express matrices as the sum of a symmetric and skew symmetric matrix [...

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  20. Express matrices as the sum of a symmetric and skew symmetric matrix [...

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