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If A =((1,0,0),(2,1,0),(3,2,1)) u(1) and...

If `A =((1,0,0),(2,1,0),(3,2,1)) u_(1) and u_(2)` are the column matrices such
that `Au_(1) = ((1),(0),(0))and Au_(2) = ((0),(1),(0))" then " u_(1) + u_(2)` is equal to

A

`({:(-1),(-1),(0):})`

B

`({:(1),(-1),(-1):})`

C

`({:(-1),(1),(0):})`

D

`({:(-1),(1),(-1):})`

Text Solution

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The correct Answer is:
B
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Let A=((1,0,0),(2,1,0),(3,2,1)) . If u_(1) and u_(2) are column matrices such that Au_(1)=((1),(0),(0)) and Au_(2)=((0),(1),(0)) , then u_(1)+u_(2) is equal to :

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Knowledge Check

  • If A=((-1,0),(0,2)) then the value of A^(3)-A^(2) is equal to -

    A
    I
    B
    A
    C
    2A
    D
    2I

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    A
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    B
    `A^(2)+AB+BA+B^(2)I`
    C
    `A^(2)I+AB+BA+B^(2)`
    D
    `A^(2)+2AB+B^(2)`

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