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Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

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$[\begin{array}{cc} {c o s}^{2} x & a m p; {s i n}^{2} x \\ {s i n}^{2} x & a m p; {c o s}^{2} x \end{array}] + [\begin{array}{cc} {s i n}^{2} x & a m p; {c o s}^{2} x \\ {c o s}^{2} x & a m p; {s i n}^{2} x \end{array}]$

= [\begin{array}{cc} c o s^{2} x + s i n^{2} x & a m p; s i n^{2} x + c o s^{2} x, \\ s i n^{2} x + c o s^{2} x & a m p; c o s^{2} x + s i n x \end{array}],

= {[\begin{array}{cc} 1 & a m p; 1 \\ 1 & a m p; 1 \end{array}]}_{2 \times 2},

∵ [s i n^{2} θ, + c o s^{2} = 1]

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