If and then find AB

Engineering

Mathematics

Algebra of Matrices

Multiplication of Matrices

Question

If $A = [\begin{array}{cc} a & b \\ c & d \end{array}]$ and $B = [\begin{array}{cc} p & q \\ r & s \end{array}]$ then find AB

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AB = [\begin{array}{cc} a & b \\ c & d \end{array}] [\begin{array}{cc} p & q \\ r & s \end{array}]

= [\begin{array}{cc} ap + br & aq + bs \\ cp + dr & cq + ds \end{array}]