Classify each of the following matrices as a row, a column, a squ… - Vidyadip

Question

Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular
1. $\left[\begin{array}{ccc}3 & -2 & 4 \\ 0 & 0 & -5 \\ 0 & 0 & 0\end{array}\right]$
2. $\left[\begin{array}{c}5 \\ 4 \\ -3\end{array}\right]$
3. $\left[\begin{array}{lll}9 & \sqrt{2} & -3\end{array}\right]$
4. $\left[\begin{array}{ll}6 & 0 \\ 0 & 6\end{array}\right]$

✓

Answer

(i) Since, all the elements below the diagonal are zero, it is an upper triangular matrix.
(ii) This matrix has only one column, it is a column matrix.
(iii) This matrix has only one row, it is a row matrix.
(iv) Since, diagonal elements are equal and non-diagonal elements are zero, it is a scalar matrix.

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