https://file.aiquickdraw.com/mathbot/file/17267087663017tscumwf.jpg

Let's go over the questions from the image.

### Question 1:
The matrix shown is:
\[
\begin{pmatrix}
1 & 3 & 4 \\
9 & 0 & 0
\end{pmatrix}
\]
This matrix has **2 rows** and **3 columns**, which makes it a **2 × 3 matrix**. Therefore, the correct answer is:
- **2 × 3 matrix**

### Question 2:
The matrix shown is:
\[
\begin{pmatrix}
2 & 0 & 0 \\
0 & 3 & 0 \\
0 & 0 & 8
\end{pmatrix}
\]
This matrix has non-zero values only on the diagonal, and all other elements are zero. This satisfies the definition of a **diagonal matrix**, where all off-diagonal elements are zero. It is also a **square matrix** (3 rows and 3 columns), but since the primary focus is on the zero off-diagonal elements, the best classification is **diagonal matrix**.

The selected option for this question is correct:
- **Diagonal matrix**

Let me know if you need any more details or clarifications!

### Relative Questions:
1. What are the properties of a **triangular matrix**?
2. How does a **zero matrix** differ from a **diagonal matrix**?
3. Can a matrix be both **diagonal** and **identity**?
4. What is the difference between a **square matrix** and a **rectangular matrix**?
5. How can you determine the **rank** of a matrix?

### Tip:
For matrices, understanding their dimensions (rows × columns) is crucial in defining their type and determining possible operations like multiplication.

What is the type and classification of the given matrices?

Explore the identification and classification of matrices with examples. Learn how to determine matrix dimensions (2 × 3) and classify diagonal matrices. Suitable for high school students in Grades 9-12.

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