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

Here are the solutions to the questions: 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 $\begin{bmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 4 \end{bmatrix}$. Step 1: Define a diagonal matrix. A diagonal matrix is a square matrix where all elements outside the main diagonal are zero. Step 2: In the assumed matrix, all elements not on the main diagonal ($a_{11}, a_{22}, a_{33}$) are zero. Step 3: 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: Step 1: Count the number of rows. There are $2$ rows. Step 2: Count the number of columns. There are $3$ columns. Step 3: 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) $2 \times 3$. Last free one today — make it count tomorrow, or type /upgrade for unlimited.