Orders and types of matrices

Orders and types of matrices

Secondary 4
6 marks

For each matrix, state its order. Then say whether it is a row matrix, a column matrix, a square matrix or a zero matrix. A matrix may be of more than one type, or of none of these types.

  1. \(\begin{pmatrix}4&-1&0&7\end{pmatrix}\)[1]
  2. \(\begin{pmatrix}2\\ -3\\ 5\end{pmatrix}\)[1]
  3. \(\begin{pmatrix}6&-2\\ 0&3\end{pmatrix}\)[1]
  4. \(\begin{pmatrix}0&0&0\\ 0&0&0\end{pmatrix}\)[1]
  5. \(\begin{pmatrix}-8\end{pmatrix}\)[1]
  6. \(\begin{pmatrix}5&1\\ 0&2\\ 7&4\end{pmatrix}\)[1]

Solution:

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Answer:(a) \(1\times4\), row matrix (b) \(3\times1\), column matrix (c) \(2\times2\), square matrix (d) \(2\times3\), zero matrix (e) \(1\times1\), row, column and square matrix (f) \(3\times2\), none of these types

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