Compute the following

Engineering

Mathematics

Introduction to Matrix

Algebra of Matrices

Exponential and Basic Maths questions

Question

Compute the following $[\begin{matrix} a^{2} + b^{2} & b^{2} + c^{2} \\ a^{2} + c^{2} & a^{2} + b^{2} \end{matrix}] + [\begin{matrix} 2 ab & 2 bc \\ - 2 ac & - 2 ab \end{matrix}]$

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$[\begin{array}{cc} a^{2} + b^{2} + 2 ab & b^{2} + c^{2} + 2 bc \\ a^{2} + c^{2} - 2 ac & a^{2} + b^{2} - 2 ab \end{array}]$

$= [\begin{array}{cc} (a + b)^{2} & (b + c)^{2} \\ (a - c)^{2} & (a - b)^{2} \end{array}]$

∵ [(a + b)² = a² + b² + 2ab]