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निम्नलिखित को परिकलित कीजिए
: $\left[ {\begin{array}{*{20}{l}}
{{{\cos }^2}x}&{{{\sin }^2}x} \\
{{{\sin }^2}x}&{{{\cos }^2}x}
\end{array}} \right] + $ $\left[ {\begin{array}{*{20}{c}}
{{{\sin }^2}x}&{{{\cos }^2}x} \\
{{{\cos }^2}x}&{{{\sin }^2}x}
\end{array}} \right]$
$\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$
$\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$
$\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$
$\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$
Solution
$\left[\begin{array}{cc}\cos ^{2} x & \sin ^{2} x \\ \sin ^{2} x & \cos ^{2} x\end{array}\right]+\left[\begin{array}{cc}\sin ^{2} x & \cos ^{2} x \\ \cos ^{2} x & \sin ^{2} x\end{array}\right]$
$=\left[\begin{array}{ll}\cos ^{2} x+\sin ^{2} x & \sin ^{2} x+\cos ^{2} x \\ \sin ^{2} x+\cos ^{2} x & \cos ^{2} x+\sin ^{2} x\end{array}\right]$
$=\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$ $(\because $ $\cos ^{2} x=1)$
