If and I is unit matrices of order 2 × 2 Find : BA

Engineering

Mathematics

Algebra of Matrices

Multiplication of Matrices

Question

If $A = [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}], B = [\begin{array}{cc} 1 & - 1 \\ 3 & 2 \end{array}]$ and I is unit matrices of order 2 × 2 Find : BA

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$BA = [\begin{array}{cc} 1 & - 1 \\ 3 & 2 \end{array}] [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}]$

= [\begin{array}{cc} 0 - 5 & 2 + 2 \\ 0 + 10 & 6 - 4 \end{array}]

= [\begin{array}{cc} - 5 & 4 \\ 10 & 2 \end{array}]