Matrix

Things to remember

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•  A matrix is a collection of numbers arranged into a fixed number of rows and columns.
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• The number of rows and columns that a matrix has is called order of matrix.
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• Properties of an equal matrix are: Each matrix has the same number of rows, Each matrix has the same number of column and Corresponding elements within n each matrix are equal.
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• Row Matrix: (2 7 9) is a row matrix order (1 × 3).
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• Column Matrix: \(\begin{pmatrix}1 \\ 8 \\ 6 \\ \end{pmatrix}\) is the column matrix of order (3 × 1).
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• Square Matrix: \(\begin{pmatrix}3 & 7 \\ 4 & 8 \\ \end{pmatrix}\)  is a matrix of order (2 × 2).
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• Rectangular Matrix: \(\begin{pmatrix}3 & 7 & 9 \\ 2 & 4 & 5\\ \end{pmatrix}\)  is a matrix of order (2 × 3).
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• Zero/Null Matrix: \(\begin{pmatrix}0 & 0 \\ 0 & 0 \\ \end{pmatrix}\), \(\begin{pmatrix}0 & 0 & 0 \\ 0 & 0 & 0 \\ \end{pmatrix}\) are all zero matrix of order (2 × 2) and (2 × 3) respectively.
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• Identity Matrix: \(\begin{pmatrix}1 & 0 \\ 0 & 1 \\ \end{pmatrix}\) and \(\begin{pmatrix}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \\ \end{pmatrix}\) are Identity matrices of order (2 × 2) and (3 × 3).
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