xiv. The Matrix 2 & 0 & 2 0 & 3 & 0 0 & 0 & 4 is an example of a:

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xiv. The Matrix $\begin{bmatrix} 2 & 0 & 2 \\ 0 & 3 & 0 \\ 0 & 0 & 4 \end{bmatrix}$ is an example of a:

Assumption: The element in the first row, third column is intended to be 0, making the matrix $\begin{bmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 4 \end{bmatrix}$ .

Define a diagonal matrix.
A diagonal matrix is a square matrix where all elements outside the main diagonal are zero.
In the assumed matrix, all elements not on the main diagonal ( $a_{11}, a_{22}, a_{33}$ ) are zero.
A scalar matrix is a diagonal matrix where all diagonal elements are equal.
Here, the diagonal elements ( $2, 3, 4$ ) are not equal.
- Therefore, based on the likely intent, the matrix is a A) Diagonal Matrix.
xv. The order of the Matrix $\begin{bmatrix} 3 & 4 & 6 \\ 2 & 5 & 7 \end{bmatrix}$ is:
Count the number of rows.
There are 2 rows.
Count the number of columns.
There are 3 columns.
The order of a matrix is given by (number of rows) $\times$ (number of columns).
$\text{Order} = 2 \times 3$
- The correct option is B) $2 \times 3$ .

Xiv. The Matrix 2 & 0 & 2 0 & 3 & 0 0 & 0 & 4 is an example of a: