Solve the following system by reducing their augment… |

Q1Long8 marks2022 · Annual

Question

\begin{aligned} x_1 + 4x_2 + 2x_3 &= 2 \\ 2x_1 + x_2 - 2x_3 &= 9 \\ 2x_1 + 2x_2 - 2x_3 &= 12 \end{aligned}

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Evaluate determinant of 3 × 3 matrices by using cofactors and properties of determinants.

Explain a consistent and inconsistent system of linear equations and demonstrate through examples.