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For the system of equaltions : x+2y+3z...

For the system of equaltions :
`x+2y+3z=1`
`2x+y+3z=2`
`5x+5y+9z=4`

A

have the unique solution

B

have infinitely many solutions

C

are inconsistent

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
`x+2y+3z=1`
`2x+y+3z=2`
`5x+5y+9z=4`
Writing in matrix form, Ax = B
`A=[{:(1,2,3),(2,1,3),(5,5,9):}]`
`|A|=1(9-15)-2(18-15)+3(10-5)`
`=-6-2(3)+3(5)=-12+15=3 ne 0`
So, these equations have unique solution
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