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. $\left[\begin{array}{ccc}2 & 0 & 0 \\ 3 & -1 & 0 \\ -7 & 3 & 1\end{array}\right]$
2. $\left[\begin{array}{lll}3 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & \frac{1}{3}\end{array}\right]$
3. $\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$

✓

Answer

(i) Since, all the elements above the diagonal are zero, it is a lower triangular matrix.
(ii) Since, all the non-diagonal elements are zero, it is a diagonal matrix.
(iii) Since, diagonal elements are 1 and non-diagonal elements are 0, it is an identity (or unit) matrix.

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