Karnataka Board PUCPUC Science 2nd PUC Class 12

Use Elementary Column Operation C2 → C2 + 2c1 in the Following Matrix Equation : [ 2 1 2 0 ] = [ 3 1 2 0 ] [ 1 0 − 1 1 ] - Mathematics

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Use elementary column operation C2 → C2 + 2C1 in the following matrix equation : \[\begin{bmatrix} 2 & 1 \\ 2 & 0\end{bmatrix} = \begin{bmatrix}3 & 1 \\ 2 & 0\end{bmatrix}\begin{bmatrix}1 & 0 \\ - 1 & 1\end{bmatrix}\]

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Solution

\[\begin{bmatrix}2 & 1 \\ 2 & 0\end{bmatrix} = \begin{bmatrix}3 & 1 \\ 2 & 0\end{bmatrix}\begin{bmatrix}1 & 0 \\ - 1 & 1\end{bmatrix}\]

Applying C2 → C2 + 2C1, we get

\[\begin{bmatrix}2 & 5 \\ 2 & 4\end{bmatrix} = \begin{bmatrix}3 & 1 \\ 2 & 0\end{bmatrix}\begin{bmatrix}1 & 2 \\ - 1 & - 1\end{bmatrix}\]
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Chapter 7: Adjoint and Inverse of a Matrix - Exercise 7.3 [Page 36]

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RD Sharma Class 12 Maths
Chapter 7 Adjoint and Inverse of a Matrix
Exercise 7.3 | Q 29 | Page 36

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