https://file.aiquickdraw.com/mathbot/file/1726620179964rpg2khba.jpg

The image shows a matrix multiplication problem, where two matrices are to be multiplied:

\[
\begin{pmatrix}
1 & 2 & 3 \\
4 & 5 & 6
\end{pmatrix}
\times
\begin{pmatrix}
1 & 2 \\
3 & 4 \\
5 & 6
\end{pmatrix}
\]

The question asks to find the result of this matrix multiplication and select the correct answer from the provided options. Let's compute this multiplication step by step.

We multiply two matrices as follows:
- The element in the first row, first column of the result is the dot product of the first row of the first matrix and the first column of the second matrix.
- The element in the first row, second column is the dot product of the first row of the first matrix and the second column of the second matrix.
- Continue this process for each element of the result matrix.

Let me calculate this now.The result of the matrix multiplication is:

\[
\begin{pmatrix}
22 & 28 \\
49 & 64
\end{pmatrix}
\]

This matches option **A** in the provided answers. 

Would you like further details or have any other questions? Here are some related questions for further practice:

1. How do you perform matrix multiplication in general?
2. What is the dot product, and how is it used in matrix multiplication?
3. Can all matrices be multiplied? Why or why not?
4. What are the dimensions of the resulting matrix after multiplication?
5. What happens if you try to multiply two matrices that don't conform to the multiplication rules?

**Tip:** Always check the dimensions of matrices before multiplying them; only compatible matrices can be multiplied.

Hasil kali matriks (1 2 3 | 4 5 6) x (1 2 | 3 4 | 5 6) adalah?

Learn how to multiply a 2x3 matrix by a 3x2 matrix with a step-by-step solution. This problem demonstrates key linear algebra concepts using the dot product for matrix multiplication. Suitable for students in Grades 9-12.

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