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We are given two matrices, \( P \) and \( Q \), and asked to find the result of \( P - Q \).

Matrix \( P \) is:
\[
P = \begin{bmatrix} 1 & -2 \\ 3 & 4 \end{bmatrix}
\]

Matrix \( Q \) is:
\[
Q = \begin{bmatrix} 3 & -1 \\ 2 & -7 \end{bmatrix}
\]

Now, subtract matrix \( Q \) from matrix \( P \) element-wise:

\[
P - Q = \begin{bmatrix} (1 - 3) & (-2 - (-1)) \\ (3 - 2) & (4 - (-7)) \end{bmatrix}
\]

Perform the calculations:

\[
P - Q = \begin{bmatrix} -2 & -1 \\ 1 & 11 \end{bmatrix}
\]

Thus, the result of \( P - Q \) is:
\[
\begin{bmatrix} -2 & -1 \\ 1 & 11 \end{bmatrix}
\]

This corresponds to option **C**.

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

1. What is the definition of matrix subtraction?
2. How does matrix addition work in comparison to subtraction?
3. Can you multiply matrices element-wise like addition and subtraction?
4. What properties of matrices are important when performing subtraction?
5. How do you calculate the determinant of a matrix?

**Tip:** Always ensure that the matrices involved in addition or subtraction are of the same dimensions.

Diketahui matriks P = [[1, -2], [3, 4]] dan Q = [[3, -1], [2, -7]], hasil dari P - Q adalah ....

Learn how to subtract matrices P and Q, where P = [[1, -2], [3, 4]] and Q = [[3, -1], [2, -7]]. Step-by-step solution for finding the matrix P - Q. This problem covers key linear algebra concepts and is suitable for students in Grades 10-12.

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