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If A={:[(5,-6),(2,4)]:}andB=A^(T)," then...

If `A={:[(5,-6),(2,4)]:}andB=A^(T)," then "A^(T)-B^(T)` is ________ .

A

`{:[(0,6),(6,0)]:}`

B

`{:[(0,8),(-8,0)]:}`

C

`{:[(0,-8),(8,0)]:}`

D

`{:[(8,0),(0,8)]:}`

Text Solution

Verified by Experts

The correct Answer is:
B
`A={:[(5,-6),(2,4)]:}`
`B=A^(T)={:[(5,2),(-6,4)]:}`
`A^(T){:[(5,2),(-6,4)]:}:B^(T)={:[(5,-6),(2,4)]:}`
`A^(T)-B^(T)={:[(5-5,2+6),(-6-2,4-4)]:}={:[(0,8),(-8,0)]:}`
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