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If A{:[(1,2,3,5,6),(4,-1,2,-3,1)]:}andB=...

If `A{:[(1,2,3,5,6),(4,-1,2,-3,1)]:}andB={:[(5,3),(2,1),(-3,5),(4,1),(1,2)]:}`, then find AB and BA.

Text Solution

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The correct Answer is:
`X={:[(26,37),(1,20)]:},{:[(17,7,21,16,33),(6,3,8,7,13),(17,-11,1,-30,-13),(8,7,14,17,25),(9,0,7,-1,8)]:}`
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If A={:[(2,3,5,6),(-1,2,-3,4)]:}andB={:[(4,-5,3,7),(8,-3,-1,2)]:} , then find A^(T)+B^(T)and(A+B)^(T) . What do you notice ?

If A={:[(1,7),(5,6)]:},B={:[(-3,2),(-1,5)]:}andC={:[(2,-3),(4,1)]:} , then find A(B+C) and AB+AC.

Knowledge Check

  • If B-A^(T)={:[(3,4,-2),(5,-3,7)]:}andB^(T)+A={:[(2,0),(5,-1),(3,4)]:} , then find Matrix A.

    A
    `{:[(1//2,-3//2),(1//2,1),(-5//2,3//2)]:}`
    B
    `{:[(1//2,3//2),(1//2,1),(-5//2,3//2)]:}`
    C
    `{:[(-1//2,-5//2),(1//2,1),(5//2,-3//2)]:}`
    D
    `{:[(1//2,3//2),(1//2,1),(-5//2,3//2)]:}`

  • If A={:[(6,-7,1),(3,-2,1)]:}andB={:[(5,1,2),(-4,3,-5)]:} then find X such that 2A-B+X=O.

    A
    `{:[(7,6,0),(1,3,-5)]:}`
    B
    `{:[(10,1,2),(3,2,1)]:}`
    C
    `{:[(7,7,0),(10,3,5)]:}`
    D
    `{:[(-7,15,0),(-10,7,-7)]:}`

  • If A={:[(4,-2),(3,-1),(2,5)]:}andB={:[(-7,2),(5,9),(3,4)]:} , then 2A+7B=

    A
    `{:[(41,10),(40,60),(26,38)]:}`
    B
    `{:[(-41,10),(41,61),(26,38)]:}`
    C
    `{:[(14,5),(30,-60),(24,26)]:}`
    D
    `{:[(-41,10),(41,61),(25,38)]:}`

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