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Home  >>  CBSE XII  >>  Math  >>  Model Papers
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Use elementary column operation $C_2\rightarrow C_2-2C_1$ in the matrix equation $\begin{bmatrix}4 & 2\\3 & 3\end{bmatrix}=\begin{bmatrix}1 & 2\\0 & 3\end{bmatrix}\:\begin{bmatrix}2 & 0\\1 & 1\end{bmatrix}$

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Toolbox:
  • Column operation is to be done on $2^{nd}$ matrix.
Given
$\begin{bmatrix}4 & 2\\3 & 3\end{bmatrix}=\begin{bmatrix}1 & 2\\0 & 3\end{bmatrix}\:\begin{bmatrix}2 & 0\\1 & 1\end{bmatrix}$
$C_2\rightarrow C_2-2C_1$
$\Rightarrow\:\begin{bmatrix}4 & -6\\3 & -3\end{bmatrix}=\begin{bmatrix}1 & 2\\0 & 3\end{bmatrix}\:\begin{bmatrix}2 & -4\\1 & -1\end{bmatrix}$
answered Mar 20, 2014 by rvidyagovindarajan_1
 

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