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If A and B are two matrices such that AB...

If A and B are two matrices such that AB and `A+B` are both defined, then A and B are

A

Square matrices of the same order

B

Square matrices of different order

C

Rectangular matrices of same order

D

Rectangular matrices of different order

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AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -EXERCISE - I
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  2. If A and B are two square matrices of order n and A and B commute then...

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

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

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

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

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

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

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

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

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

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

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  14. If A is a skew symmetric matrix, then trace of A is

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  15. If A=[a(ij)] is a scalar matrix of order nxxn such that a(ii)=k for al...

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  16. If the traces of A are 19 and B are 8 then the trace of A-B is

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  17. If tr(A)=2+i then tr((2-i)A)=

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  18. If tr(A)=3,tr(B)=5 then tr(AB)=

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  19. If A=[(4,x+2),(2x-3,x+1)] is symmetric then trace of A is

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  20. If A=[(x,1,4),(-1,0,7),(-4,-7,0)] such that A'=-A then x=

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