If and I is unit matrix of order 2 × 2. Find : Al

Engineering

Mathematics

Introduction to Matrix

Algebra of Matrices

Question

If $Al = [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}] [\begin{array}{cc} 1 & 0 \\ 0 & 1 \end{array}]$ and I is unit matrix of order 2 × 2. Find : Al

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$Al = [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}] [\begin{array}{cc} 1 & 0 \\ 0 & 1 \end{array}]$

= [\begin{array}{cc} 0 + 0 & 0 + 2 \\ 5 + 0 & 0 - 2 \end{array}]

= [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}]