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$If \( \mathrm{X}=\left[\begin{array}{cc}-\mathrm{x} & -\mathrm{y} \\ \mathrm{z} & \mathrm...$

$If \\(\\mathrm{f}(x)=\\left\\{\\begin{array}{ll}\\mathrm{a} x+\\mathrm{b} ; & 0<x \\leq 1....$

$If \( \mathrm{f}(\mathrm{x})=\left\{\begin{array}{ll}|\mathrm{x}|+1...$

$If \( \mathrm{f}(\mathrm{x})=\left\{\begin{array}{l}1+\mathrm{x}, \text { when } \mathrm{x} \leq...$

$\[ \mathrm{f}(\mathrm{x})=\left\{\begin{array}{ll} \mathrm{b} \sin ^{-1}\left(\frac{\mathrm{x}+\...$

$If $ \mathrm{A}=\left[\begin{array}{ll}1 & 2 \\ 2 & 1\end{array}\right] $, show that \( f(\mat...$

$If \( \mathrm{M}=\left\{\left[\begin{array}{ll}x & x \\ x & x\end{array}\right], x \neq 0, x \in...$

$If \( \left.\mathrm{X}=\left\{4^{\mathrm{n}}-3 \mathrm{n}-1: \mathr...$

$If \( \mathrm{f}(\mathrm{x})=\left\{\begin{array}{cl}\frac{\sin (\mathrm{a}+2) \mathrm{x}+\sin \...$

$Find $ X $ and $ Y $, if (i) \( \mathrm{X}+\mathrm{Y}=\left[\begin{array}{ll}7 & 0 \\ 2 ...$

$If \\(\\mathrm{A}=\\left[\\begin{array}{ll}2-3 & 4\\end{array}\\right], \\mathrm{B}=\\left[\....$

$If the function \$f\$ defined as\\[\\mathrm{f}(x)=\\left\\{\\begin{array}{c}\\frac{x^2-9....$