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Determine the matrix A, when A=4[{:(1,2,...

Determine the matrix A, when `A=4[{:(1,2,3),(-1,-2,-3),(4,2,6):}]+2[{:(5,4,1),(3,2,4),(3,8,2):}]`

A

`[{:(-14,16,14),(-2,-4,-4),(22,24,28):}]`

B

`[{:(14,-16,14),(2,-4,-4),(22,24,28):}]`

C

`[{:(14,16,14),(2,-4,-4),(22,24,28):}]`

D

`[{:(-14,16,14),(2,-4,-4),(-22,24,-28):}]`

Text Solution

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The correct Answer is:
C
`A=[{:(4,8,12),(-4,-8,-12),(16,8,24):}]+[{:(10,8,2),(6,4,8),(6,16,4):}]`
=`[{:(4+10,8+8,12+2),(-4+6,-8+4,-12+8),(16+6,8+16,24+4):}]=[{:(14,16,14),(2,-4,-4),(22,24,28):}]`
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