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m[(-3,4)]+n[(4,-3)]=[(10,-11)]implies3m+...

`m[(-3,4)]+n[(4,-3)]=[(10,-11)]implies3m+7n=`

A

3

B

5

C

10

D

1

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D
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AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -EXERCISE - I
  1. If A=[(9,1),(4,3)],B=[(1,5),(6,11)] and 3A+5B+2X=0 then X =

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  2. If A=[(0,2),(3,-4)],kA=[(0,3a),(2b,24)] then the values of k,a,b are r...

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  3. m[(-3,4)]+n[(4,-3)]=[(10,-11)]implies3m+7n=

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  4. If ((x-2y,5y),(6,a-2b))=5((4,2),((b)/(5),6)) then a+x=

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  5. If A=" diag "(1,-1,2)"B = diag "(2,3,-1) then 3A+4B=

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  6. The additive inverse of [(1,4,-7),(-3,2,5),(2,3,-1)] is

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  7. The order of the matrix A is 3xx5 and that of B is 2xx3. The order of ...

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  8. If A,B are two idempotent matrices and AB=BA=O then A+B is

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  9. If A and B are two square matrices of order n and A and B commute then...

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  10. If A and B are two matrices such that AB and A+B are both defined, the...

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  11. If A=[(3,0),(-4,-1)]B=[(3,5,-7),(0,-1,8)]C=[(6),(-1),(0)] then ABC=

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  12. If ((3,-2),(-1,2))((x),(y))=((11),(-5)), then 3x+7y=

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  13. If A=[(4,1,0),(1,-2,2)],B=[(2,0,-1),(3,1,4)],C=[(1),(2),(-1)] and (3B-...

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  14. If A=((2,3),(0,4))then A^(2)-5I=

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  15. If A and B are matrices such that AB = O then

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  16. A=[(-1,0),(0,2)]impliesA^(3)-A^(2)=

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  17. A=[{:(1,2,2),(2,1,2),(2,2,1):}], then A^(3) - 4A^(2) -6A is equal to

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  18. If A=[a(ij)] is scalar matrix then the trace of A is

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  19. Find the trace of [(1,3,-5),(2,-1,5),(2,0,1)]

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  20. If the trace of A is 7 then the trace of 7A is

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