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The problem in the image involves determining the matrix \( Z \), which represents the difference in daily temperatures between two cities, City X and City Y, over a week. Matrix \( X \) shows the daily temperatures for City X, and Matrix \( Y \) shows the daily temperatures for City Y.

### Matrix \( X \) (Temperatures of City X):
\[
X = \begin{pmatrix}
32 & 30 & 28 & 33 & 31 & 29 & 30 \\
30 & 29 & 27 & 34 & 32 & 30 & 28
\end{pmatrix}
\]

### Matrix \( Y \) (Temperatures of City Y):
\[
Y = \begin{pmatrix}
28 & 25 & 27 & 30 & 29 & 28 & 31 \\
31 & 28 & 26 & 32 & 30 & 29 & 27
\end{pmatrix}
\]

### Matrix \( Z \) (Temperature Difference: \( Z = X - Y \)):
The problem asks us to find matrix \( Z \), which is the difference between corresponding elements of matrices \( X \) and \( Y \).

Let's calculate the difference element-wise:

For the first row:
\[
Z_{1,i} = X_{1,i} - Y_{1,i}
\]
\[
Z_1 = \begin{pmatrix} 32 - 28 & 30 - 25 & 28 - 27 & 33 - 30 & 31 - 29 & 29 - 28 & 30 - 31 \end{pmatrix}
= \begin{pmatrix} 4 & 5 & 1 & 3 & 2 & 1 & -1 \end{pmatrix}
\]

For the second row:
\[
Z_{2,i} = X_{2,i} - Y_{2,i}
\]
\[
Z_2 = \begin{pmatrix} 30 - 31 & 29 - 28 & 27 - 26 & 34 - 32 & 32 - 30 & 30 - 29 & 28 - 27 \end{pmatrix}
= \begin{pmatrix} -1 & 1 & 1 & 2 & 2 & 1 & 1 \end{pmatrix}
\]

### Matrix \( Z \):
\[
Z = \begin{pmatrix} 4 & 5 & 1 & 3 & 2 & 1 & -1 \\ -1 & 1 & 1 & 2 & 2 & 1 & 1 \end{pmatrix}
\]

This matches the option in **row a** from the provided choices.

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Would you like a detailed explanation of how to compute the matrix differences element-wise or any further clarifications?

Here are some related questions you might explore:
1. What are the properties of matrix subtraction?
2. How does matrix addition and subtraction apply to real-world data like temperatures?
3. Can matrix multiplication be used in temperature-related problems like this?
4. How can matrices represent more complex data in a weather analysis model?
5. How would this process change if we had more than two cities to compare?

**Tip:** Always ensure that the matrices you're subtracting have the same dimensions.

Seorang peneliti mencatat dua suhu harian di dua kota, Kota X dan Kota Y, selama seminggu. Matriks X menyatakan suhu harian (baris pertama) di kota X, sedangkan matriks Y menyatakan suhu harian yang sama di kota Y. Jika matriks Z menyatakan selisih suhu harian kota X dan kota Y, berapakah matriks Z?

Learn how to compute matrix Z, which represents the difference in daily temperatures between two cities over a week. Using matrix subtraction, subtract matrix Y from matrix X to determine the result. Suitable for Grades 8-10.

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