https://file.aiquickdraw.com/mathbot/file/1727066119969pt99baa8.jpg

The problem can be interpreted as:

We are given the equation:

\[
3Q - \begin{pmatrix} 2 & 1 \\ -5 & 3 \end{pmatrix} = \begin{pmatrix} 4 & 11 \\ 14 & 6 \end{pmatrix}
\]

We need to find matrix \( Q \).

### Step-by-Step Solution:

1. Rearrange the equation to solve for \( Q \):

\[
3Q = \begin{pmatrix} 4 & 11 \\ 14 & 6 \end{pmatrix} + \begin{pmatrix} 2 & 1 \\ -5 & 3 \end{pmatrix}
\]

2. Perform matrix addition:

\[
3Q = \begin{pmatrix} 4 + 2 & 11 + 1 \\ 14 + (-5) & 6 + 3 \end{pmatrix}
\]
\[
3Q = \begin{pmatrix} 6 & 12 \\ 9 & 9 \end{pmatrix}
\]

3. Divide the matrix by 3 to solve for \( Q \):

\[
Q = \frac{1}{3} \begin{pmatrix} 6 & 12 \\ 9 & 9 \end{pmatrix}
\]
\[
Q = \begin{pmatrix} 2 & 4 \\ 3 & 3 \end{pmatrix}
\]

Thus, matrix \( Q \) is:

\[
Q = \begin{pmatrix} 2 & 4 \\ 3 & 3 \end{pmatrix}
\]

This matches option **a**.

### Final Answer:
The correct answer is **a**.

---

Would you like more details on any part of the solution? Here are 5 related questions for further practice:

1. How do you multiply a matrix by a scalar?
2. What are the properties of matrix addition?
3. How would the solution change if the given matrix was 3x3 instead of 2x2?
4. Can you derive the inverse of matrix \( Q \)?
5. How do you solve a system of equations using matrices?

**Tip:** When solving matrix equations, always perform operations element-wise and verify your results step-by-step.

Jika 3Q - ( 2 1 ; -5 3 ) = ( 4 11 ; 14 6 ), matriks Q adalah?

Learn how to solve the matrix equation 3Q - (2 1; -5 3) = (4 11; 14 6) to find matrix Q. This problem covers core matrix algebra concepts, including matrix addition and scalar multiplication. Detailed step-by-step solution provided, suitable for students in Grades 10-12.

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