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Applied Mathematics · 2023 · 5 marks
CBSE 2023 · Central · Set 4 · Q32
(a) Find the inverse of the matrix: A = [-1, 1, 2; 3, -1, 1; -1, 3, 4] and hence show that AA^-1= I.
Find the inverse of the matrix :
$$\mathrm{A}=\left[\begin{array}{rrr}-1 & 1 & 2 \\ 3 & -1 & 1 \\ -1 & 3 & 4\end{array}\right]$$
and hence show that $\displaystyle \mathrm{AA}^{-1}=\mathrm{I}$.
Using matrix method, solve the following system of equations for x, y and z :
$\displaystyle \mathrm{x}-\mathrm{y}+\mathrm{z}=4$
$\displaystyle 2 \mathrm{x}+\mathrm{y}-3 \mathrm{z}=0$
$\displaystyle \mathrm{x}+\mathrm{y}+\mathrm{z}=2$
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CBSE Class 12 Applied Mathematics past-paper question from the 2023 board exam. Where our answers come from.