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Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

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$[\begin{array}{cc} c o s^{2} θ & a m p; c o s θ s i n θ, \\ - s i n θ c o s θ & a m p; c o s^{2} θ \end{array}] + [\begin{array}{cc} s i n^{2} θ, & a m p; - c o s θ s i n θ, \\ s i n θ c o s θ, & a m p; s i n^{2} θ, \end{array}]$
$= [\begin{array}{cc} c o s^{2} θ, + s i n^{2} θ, & a m p; 0 \\ 0 & a m p; c o s^{2} θ + s i n^{2} θ \end{array}] = {[\begin{array}{cc} 1 & a m p; 0 \\ 0 & a m p; 1 \end{array}]}_{2 \times 2}$