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If I(3) is identity matrix of order 3, t...

If `I_(3)` is identity matrix of order 3, then `I_(3)^(-1)=`

A

O

B

`3I_(3)`

C

`I_(3)`

D

Not necessarily exists

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If I_3 is the identily matrix of order 3, then (I_3)^(-1)=

    A
    0
    B
    `3I_3`
    C
    `I_3`
    D
    not necessarily exists.

  • If I_(3) is the identity matrix of order 3 order (I_(3))^(-1) is equal to

    A
    0
    B
    `3I_(3)`
    C
    `I_(3)`
    D
    does not exist

  • If B_(0)=[(-4, -3, -3),(1,0,1),(4,4,3)], B_(n)=adj(B_(n-1), AA n in N and I is an identity matrix of order 3, then B_(1)+B_(3)+B_(5)+B_(7)+B_(9) is equal to

    A
    `B_(0)`
    B
    `5B_(0)`
    C
    `25B_(0)`
    D
    `5I`

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