Addition and Subtraction of Matrices

Addition and Subtraction of Matrices

Secondary 4

Tips - Addition and Subtraction of Matrices

  • Matrices can be added or subtracted when they have the same order.

\(\begin{pmatrix} a & b \\ c & d \end{pmatrix} + \begin{pmatrix} e & f \\ g & h \end{pmatrix} = \begin{pmatrix} a+e & b+f \\ c+g & d+h \end{pmatrix} \quad \text{or} \quad \begin{pmatrix} a & b \\ c & d \end{pmatrix} - \begin{pmatrix} e & f \\ g & h \end{pmatrix} = \begin{pmatrix} a-e & b-f \\ c-g & d-h \end{pmatrix}\)

If \(A = \begin{pmatrix} 2 & 5 \\ 3 & 6 \end{pmatrix}\) and \(B = \begin{pmatrix} -1 & -5 \\ -3 & -5 \end{pmatrix}\), find \(A + B\).

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Answer:\(\begin{pmatrix}1&0\\0&1\end{pmatrix}\)

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