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If [(x-y-z),(-y+z),(z)]=[(0),(5),(3)] th...

If `[(x-y-z),(-y+z),(z)]=[(0),(5),(3)]` then the values of `x,y` and z are respectively

A

`5,2,2`

B

`1,-2,3`

C

`0,-3,3`

D

`11,8,3`

Text Solution

Verified by Experts

The correct Answer is:
B
On equating the given matrix equation
`[(x-y-z),(-y+z),(z)]=[(0),(5),(3)]` we get
`x-y-z=0`
`=y+z=5` and `z=3`
`impliesx=1,y=-2` and `z=3`
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