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Solution of Simultaneous Linear Equations — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsSolution of Simultaneous Linear Equations2 Marks
Question
If $\begin{bmatrix}1&0&0\\0&-1&0\\0&0&-1\end{bmatrix}\begin{bmatrix}\text{x}\\\text{y}\\\text{z}\end{bmatrix}=\begin{bmatrix}1\\0\\1\end{bmatrix}$, find x, y and z.
✓

Answer

Here,
$\begin{bmatrix}1&0&0\\0&-1&0\\0&0&-1\end{bmatrix}\begin{bmatrix}\text{x}\\\text{y}\\\text{z}\end{bmatrix}=\begin{bmatrix}1\\0\\1\end{bmatrix}$
$\begin{bmatrix}\text{x}+0+0\\0-\text{y}+0\\0+0-\text{z}\end{bmatrix}=\begin{bmatrix}1\\0\\1\end{bmatrix}$
$\begin{bmatrix}\text{x}\\-\text{y}\\-\text{z}\end{bmatrix}=\begin{bmatrix}1\\0\\1\end{bmatrix}$
Hence, $\text{x}=1,\text{y}=0\text{ and }\text{z}=-1$

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