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If X and Y are two matrices such that X+...

If X and Y are two matrices such that `X+Y={:[(4,-3),(5,2)]:}andX-Y={:[(6,-5),(3,2)]:}`, then find the matrices X and Y.

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The correct Answer is:
`X={:[(5,-4),(4,2)]:},Y={:[(-1,1),(1,0)]:}`
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PEARSON IIT JEE FOUNDATION-MATRICES-TEST YOUR CONCEPTS (VERY SHORT ANSWER TYPE QUESTIONS)
  1. If A={:[(a,p),(b,q),(c,r)]:}, then (A^(T))^(T) = .

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  2. The order of matrix A+B^(T) is 4xx3, then the order of matrix B is .

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  3. If A={:[(3,24),(-4,8)]:}, then check whether it is symmetric matrix or...

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  4. {:[(0,-3),(3,0)]:} is a matrix.

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  5. The product of {:[(1),(2)]:} and {:[(3,4)]:} is .

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  6. The product of {:[(a,b),(c,d)]:}and{:[(x),(y)]:} is .

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  7. The product of {:[(2,-4,4)]:},and{:[(1),(3),(5)]:} is .

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  8. If all the diagonal elements in a diagonal matrix is 0, then it is a ...

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  9. If {:[(2,-1,0),(9,2,4),(6,3,-9)]:}, find (k+l) A.

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  10. If A={:[(2,3),(4,1)]:},B={:[(9,5),(-6,1)]:}andC={:[(2,-6),(-3,1)]:} th...

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  11. If A={:[(1,2),(3,4)]:}andB={:[(5,6),(7,8)]:}, then find 3A+7B.

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  12. If 5{:[(-3,1),(x,2)]:}+{:[(y,4),(3,2)]:}={:[(-15,9),(6,z)]:}, then fin...

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  13. If A={:[(2,-3),(5,7)]:}andB={:[(20,31),(44,53)]:}, then find the matri...

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  14. If A={:[(11,-13),(-13,11)]:}, then find A^(T)= ?

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  15. If A=[a(ij)](2xx3), difined as a(ij)=i^(2)-j+1, then find matrix A.

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  16. If A={:[(5,3,1),(2,9,-11)]:},B={:[(22,31,43),(16,11,44)]:}andC={:[(51,...

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  17. Compute : 2{:[(2,3,4,1),(-5,11,6,7)]:}+5{:[(11,13,-3,4),(5,-3,4,-7)]...

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  18. Find a,p,q and b if A={:[(a-3,6,b-q),(1,5,9)]={:[(0,2p-q,-4),((q-p)/...

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  19. If A, B and C are three matrices of order 3xx4,3xx2andaxx2 respectivel...

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  20. If X and Y are two matrices such that X+Y={:[(4,-3),(5,2)]:}andX-Y={:[...

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