consider the system of linear equations
`x_(1)+2x_(2)+x_(3)=3`
`2x_(1)+3x_(2)+x_(3)=3,`
`3x_(1)+5x_(2)+2x_(3)=1`
the system has

The set of the all values of lamda for which the system of linear equations 2x_(1) - 2x_(2) + x_(3) = lamdax_(1) 2x_(1) - 3x_(2) + 2x_(3) = lamda x_(2) -x_(1) + 2x_(2) = lamda x_(3) has a non-trivial solution,

Consider the system of linear equations; x-1\ +2x_2+x_3=3, 2x_1+3x_2+_3=3, 3x_1+5x_2+2x_3=1 The system has Infinite number of solutions Exactly 3 solutions A unique solution No solution

Using the matrix method, solve the following system of equations: x_(1)-2x_(2) + 3x_(3) =4, 2x_(1) + x_(2)-3x_(3) =5, -x_(1) + x_(2) + 2x_(3)=3

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