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The uploaded image presents a mathematical exercise asking to transform various matrices into identity matrices using elementary row operations (EROs). Here, I'll provide the row operations needed to convert each matrix to its respective identity matrix.

### Matrix (1):
\[
\begin{pmatrix}
1 & 2 \\
2 & 5
\end{pmatrix}
\]

#### Operations:
1. \( R_2 = R_2 - 2R_1 \)
2. \( R_2 = \frac{1}{R_2} \)
3. \( R_1 = R_1 - 2R_2 \)

#### Result:
\[
\begin{pmatrix}
1 & 0 \\
0 & 1
\end{pmatrix}
\]

### Matrix (2):
\[
\begin{pmatrix}
1 & 2 \\
3 & 4
\end{pmatrix}
\]

#### Operations:
1. \( R_2 = R_2 - 3R_1 \)
2. \( R_2 = \frac{1}{R_2} \)
3. \( R_1 = R_1 - 2R_2 \)

#### Result:
\[
\begin{pmatrix}
1 & 0 \\
0 & 1
\end{pmatrix}
\]

### Matrix (3):
\[
\begin{pmatrix}
1 & 1 & 1 \\
1 & 2 & 3 \\
1 & 4 & 9
\end{pmatrix}
\]

#### Operations:
1. \( R_2 = R_2 - R_1 \)
2. \( R_3 = R_3 - R_1 \)
3. \( R_3 = R_3 - 2R_2 \) (after making \( R_2 \) a lead 1)
4. Back substitution to clear above entries.

#### Result:
\[
\begin{pmatrix}
1 & 0 & 0 \\
0 & 1 & 0 \\
0 & 0 & 1
\end{pmatrix}
\]

### Matrix (4):
\[
\begin{pmatrix}
6 & 2 & 5 \\
1 & 7 & 0
\end{pmatrix}
\]

#### Operations:
1. Swap \( R_1 \) and \( R_2 \).
2. \( R_1 = R_1 / R_{1,1} \) to make the leading coefficient 1.
3. \( R_2 = R_2 - 6R_1 \) to clear the first column.
4. Scale \( R_2 \) to make the pivot 1.
5. Clear above entries in column 2.

#### Result:
\[
\begin{pmatrix}
1 & 0 & 0 \\
0 & 1 & 0 \\
0 & 0 & 1
\end{pmatrix}
\]

**Do you need more detailed steps for each operation or any clarification on the specific steps?**

**Additional Questions:**
1. Do you need a walkthrough on how to perform elementary row operations?
2. Would you like to learn about the conditions for a matrix to be invertible?
3. Are you interested in understanding the geometric interpretation of these transformations?
4. Can I assist you with any other types of matrix operations like multiplication or transposition?
5. Would a summary of matrix row reduction strategies be helpful?

**Tip:** Always double-check each step during row operations as small miscalculations can lead to errors in the final result.

Ubahlah matriks berikut menjadi matriks identitas dengan OBE

Learn how to transform various matrices into identity matrices using elementary row operations (EROs). This exercise involves row swapping, row multiplication, and row addition/subtraction to reduce matrices to their identity forms. Suitable for undergraduate students studying linear algebra.

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