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Matrix theory can be aplied to investiga...

Matrix theory can be aplied to investigate the conditions under which a given system of linear equations possesses unique, indinite or no solutions. Consider the system of non-homogeneous linear equations in 3 unknowns
`x+y+x=6`
`x+2y+3z=10`
`x+2y+lamdaz=rho`
and answer the questions that follow.
The system possesses no solutions if

A

`lamda=3, rho = 10`

B

`lamda ne 3, rho = 10`

C

`lamda = 3, rho = 10`

D

`lamda ne 3, rho = 10`

Text Solution

Verified by Experts

The correct Answer is:
C
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