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If[5" "6]{:[(1,-3),(-1,x)]:}{:[(3),(4)]...

If`[5" "6]{:[(1,-3),(-1,x)]:}{:[(3),(4)]:}=[-15]`, then the value of x is __________ .

A

4

B

2

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
`[5" "6]{:[(1,-3),(-1,x)]:}{:[(3),(4)]:}=[-15]`
`[5-6-15+6x]{:[(3),(4)]:}=[=15]`
`[-1-15+16x]{:[(3),(4)]:}=[15]`
`[-3+4(6x-15)]=[-15]`
`[-3+24x-60]=[-15]`
`[24x-63]=[-15]`
24x-63=-15
24x=63-15
24x=48
x=2.
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