A2 = ?

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

A = [\begin{array}{cc} 1 & 2 \\ 2 & 3 \end{array}]

A² = ?

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A = [\begin{array}{cc} 1 & 2 \\ 2 & 3 \end{array}]

A^{2} = [\begin{array}{cc} 1 & 2 \\ 2 & 3 \end{array}] [\begin{array}{cc} 1 & 2 \\ 2 & 3 \end{array}]

A^{2} = [\begin{array}{cc} 1 + 4 & 2 + 6 \\ 2 + 6 & 4 + 9 \end{array}]

A^{2} = [\begin{array}{cc} 5 & 8 \\ 8 & 13 \end{array}]

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