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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 systme possesses a unique solution fi

A

`lamda ne 3`

B

`lamda ne 3, rho ne 10`

C

`rho ne 10`

D

`rho = 10`

Text Solution

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The correct Answer is:
A
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