If A=[(1,3),(2,1)] then the determinant ...

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

A

5

B

25

C

`-5`

D

`-25`

Text Solution

Verified by Experts

The correct Answer is:

B

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Knowledge Check

If A=[(1,1,1),(1,2,-3),(2,-1,3)] then AdjA=

A

`[(3,-4,-5),(-9,1,-4),(-5,-3,1)]`

B

`[(3,4,5),(-9,1,-4),(5,-3,1)]`

C

`[(3,-4,-5),(-9,1,4),(-5,3,1)]`

D

`[(3,-9,-5),(-4,1,3),(-5,4,1)]`

If 3A=[(-1,2,2),(2,-1,2),(2,2,-1)] then

A

`"AA"^(T)=A^(T) A=I`

B

`"AA"^(T)=A^(T)A=O`

C

`"AA"^(T)=A^(T) A=-I`

D

none of these

If 3A=[(-1,2,2),(2,-1,2),(2,2,-1)] then

A

`A A^(T)=A^(T)A=I`

B

`A A^(T)=A^(T)A=-I`

C

`A A^(T)=A^(T)A=0`

D

`A A^(T)=A^(T)A=A`

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