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A=[(-4,-1),(3,1)] then the determinant o...

`A=[(-4,-1),(3,1)]` then the determinant of the matrix `(A^(2016)-2.A^(2-15)-A^(2014))` is

A

`-175`

B

2014

C

2016

D

`-25`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If A=[(1,3),(2,1)] then the determinant of A^(2)-2A is

    A
    5
    B
    25
    C
    -5
    D
    -25
  • If [(1,2,3)]B=[(3,4)] then the order of the matrix B is

    A
    `3xx1`
    B
    `1xx3`
    C
    `2xx3`
    D
    `3xx2`
  • ((1+i)^2016)/((1-i)^2014)=

    A
    `-2i`
    B
    `2i`
    C
    2
    D
    `-2`
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