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If A=((1,-1),(0,1),(2,3)),B=((2,1),(3,0)...

If `A=((1,-1),(0,1),(2,3)),B=((2,1),(3,0),(0,1))` and `2A-3B+5X=O` then X =

A

`((4,1),(-2,9),(3,-4))`

B

`1/5((4,5),(9,-2),(-4,-3))`

C

`1/5((4,-5),(-2,9),(-4,3))`

D

`1/5((-4,1),(9,-2),(4,-3))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -PRACTICE EXERCISE
  1. If A=((1,2,3),(3,2,1)),B=((3,2,1),(1,2,3)),C=((7,2,-3),(-3,2,7)) then ...

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  2. If A=((1,-1),(0,1),(2,3)),B=((2,1),(3,0),(0,1)) and 2A-3B+5X=O then X ...

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  3. If [(4,9),(3,0)]=[(x,y^(2)),(3,0)] then (x,y)=

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  4. If [(1,2,3)]B=[(3,4)] then the order of the matrix B is

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  5. Let A=((1,2),(-2,1)),B=((4,-3),(-5,6),(0,1)) then

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  6. If A=("x y"),B=((a,h),(h,b)),C=((x),(y)) then ABC=

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  7. If A=[(a^(2),ab,ac),(ab,b^(2),bc),(ac,bc,c^(2))], B=[(0,c,-b),(-c,0,a)...

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  8. If A=[(0,-1),(1,0)]B=[(0,i),(i,0)]C=[(i,0),(0,-i)] then

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  9. If the traces of A, B are 17 and 8 then the trace of A+B is

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  10. If the trace of AB is 30 then the trace of BA is

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  11. If A and B are symmetric matrices then ABA is

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  12. If A^(T)B^(T)=C^(T) then C =

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  13. If A=[(k,2,3),(-2,0,5),(-3,-5,0)] is a skew symmetric matrix then k =

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  14. If A=[(0,1,-2),(-1,0,3),(2,-3,0)] then A+A^(T)=

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  15. P+Q=[(1,6),(7,2)] , P is a symmetric, Q is a skew symmetric then P =

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  16. If A=[(x,3,2),(-2,y,-7),(-2,7,0)] and A=-A^(T) then x+y=

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  17. If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A is

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  18. If A is square matrix then A A^(T) is . . . . Matrix

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  19. Let A be a square matrix. Then A+A^(T) will be

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  20. If A and B are two symmetric matrices then AB + BA is

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