https://file.aiquickdraw.com/mathbot/file/172722768136828frm3mf.jpg

The problem provides a matrix \( A \), and asks for several characteristics about the matrix.

Given Matrix \( A \):

\[
A = \begin{pmatrix}
5 & 2 & -1 \\
3 & -2 & 1 \\
4 & -5 & 2
\end{pmatrix}
\]

The tasks are as follows:

### a. Name of the Matrix
The matrix is named **Matrix A**, which is already given in the problem.

### b. Ordo (Order) of the Matrix
The order of a matrix is defined by the number of rows and columns. Matrix \( A \) has 3 rows and 3 columns, so the order is:

\[
\text{Ordo of Matrix A} = 3 \times 3
\]

### c. Element in Row 2, Column 3
To find the element at the second row and third column, locate the element in the second row and third column of the matrix:

\[
\text{Element at Row 2, Column 3} = 1
\]

### d. Element in Row 1, Column 2
To find the element at the first row and second column, locate the element in the first row and second column of the matrix:

\[
\text{Element at Row 1, Column 2} = 2
\]

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Would you like further explanation or details on any of these points?

Here are five related questions that could expand your understanding:
1. How do you determine the order of a matrix with different rows and columns?
2. How do you extract specific elements from a matrix?
3. What is the difference between a row matrix and a column matrix?
4. What is the main diagonal of a square matrix, and how is it significant?
5. How can you determine if a matrix is symmetric?

**Tip:** When working with matrices, always label your rows and columns to avoid confusion when referencing specific elements!

Diketahui Matriks A: A = [5 2 -1; 3 -2 1; 4 -5 2], tentukan: a) Nama Matriks, b) Ordo Matriks, c) Elemen pada baris 2 kolom 3, d) Elemen pada baris 1 kolom 2.

Learn how to identify the order of a 3x3 matrix and find specific elements located at row 2, column 3, and row 1, column 2. Suitable for high school students in Grades 9-12, this problem covers essential matrix concepts.

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