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The problem involves multiplying a matrix \( A \) by a scalar \( 4 \). The given matrix is:

\[
A = \begin{bmatrix} -3 & -9 \\ 1 & 7 \end{bmatrix}
\]

To calculate \( 4A \), multiply each element of the matrix \( A \) by \( 4 \):

\[
4A = 4 \cdot \begin{bmatrix} -3 & -9 \\ 1 & 7 \end{bmatrix}
= \begin{bmatrix} 4 \cdot (-3) & 4 \cdot (-9) \\ 4 \cdot 1 & 4 \cdot 7 \end{bmatrix}
= \begin{bmatrix} -12 & -36 \\ 4 & 28 \end{bmatrix}
\]

Thus, the matrix represented by \( 4A \) is:

\[
\begin{bmatrix} -12 & -36 \\ 4 & 28 \end{bmatrix}
\]

Would you like a more detailed explanation or any additional assistance?

Here are 5 questions you might consider next:
1. How does scalar multiplication work for larger matrices?
2. What are the properties of scalar multiplication in linear algebra?
3. Can scalar multiplication change the determinant of a matrix?
4. How does scalar multiplication affect eigenvalues of a matrix?
5. What is the relationship between scalar multiplication and matrix addition?

**Tip:** Always double-check your scalar multiplication to ensure accuracy!

Given a matrix A, determine the matrix represented by 4A. Matrix A is: 
A = [[-3, -9], [1, 7]]

Learn how to calculate the scalar multiplication of a matrix. This example involves multiplying matrix A = [[-3, -9], [1, 7]] by 4 to find 4A. Includes step-by-step guidance for understanding matrix operations and scalar multiplication in linear algebra.

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