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

If `A=((1,2,3),(3,2,1)),B=((3,2,1),(1,2,3)),C=((7,2,-3),(-3,2,7))` then C =

A

`3B-2A`

B

`2A+3B`

C

`4A+B`

D

`A+2B`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • I: If A=[(0,1,2),(2,3,4),(4,5,-6)],B=[(-1,2,3),(0,1,0),(0,0,-1)] then 4A-5B=[(5,-6,-7),(8,7,16),(16,20,-19)] II:If A=[(1,2,3),(3,2,1)]B=[(3,2,1),(1,2,3)] then 3B-2A=[(7,2,-3),(-3,2,7)]

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    only I is true
    B
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    C
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    D
    neither I nor II true
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    A
    `[(2,-3,10),(2,1,8),(5,1,1)]`
    B
    `[(-2,3,10),(2,1,8),(5,1,1)]`
    C
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    A
    `[(2,1,6//5,7//5),(1,7//5,2,3//5)]`
    B
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    `[(-2,1,6//5,7//5),(1,7//5,2,3//5)]`
    D
    `[(2,1,6//5,7//5),(1,-7//5,2,3//5)]`
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    If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] , then compute (A+B) and (B-C) . Also, verify that A+(B-C)=(A+B)-C .

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