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Let A=[(-1,-2,-3),(3,4,5),(4,5,6)],B=[(1...

Let `A=[(-1,-2,-3),(3,4,5),(4,5,6)],B=[(1,-2),(-1,2)]` and `C=[(2,0,0),(0,2,0),(0,0,2)]` If a,b, and c respectively denote the ranks of A,B and C then correct order of these numbers is

A

`a lt b lt c`

B

`c lt b lt a`

C

`b lt a lt c`

D

`a lt c lt b`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If A=[(1,-2,3),(-4,2,5)],B=[(1,3),(-1,0),(2,4)] then 2A+3B'=

    A
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    C
    `[(19,-25),(-15,64)]`
    D
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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
    `[(2,-3,10),(2,1,8),(5,1,1)]`
    D
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  • If A=[(2,3,1),(0,1,5)],B=[(1,2,-1),(0,-1,3)] then [(1,0,5),(0,1,1)]=

    A
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    B
    `A-2B`
    C
    `2A-3B`
    D
    `3A-2B`

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