5 - compute – 5A 3 Given A 3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Matrix Scalar Multiplication: Problem**

**Given:**

Matrix \( A \) is defined as:

\[
A = \begin{bmatrix} -5 & -1 \\ 3 & 3 \end{bmatrix}
\]

**Task:**
Compute the scalar multiplication \(-5A\).

**Procedure:**

To compute \(-5A\), multiply each element of the matrix \( A \) by \(-5\).

**Solution:**

\[
-5A = -5 \times \begin{bmatrix} -5 & -1 \\ 3 & 3 \end{bmatrix} = \begin{bmatrix} -5 \times -5 & -5 \times -1 \\ -5 \times 3 & -5 \times 3 \end{bmatrix} = \begin{bmatrix} 25 & 5 \\ -15 & -15 \end{bmatrix}
\]

The resulting matrix after multiplication is:

\[
\begin{bmatrix} 25 & 5 \\ -15 & -15 \end{bmatrix}
\]
Transcribed Image Text:**Matrix Scalar Multiplication: Problem** **Given:** Matrix \( A \) is defined as: \[ A = \begin{bmatrix} -5 & -1 \\ 3 & 3 \end{bmatrix} \] **Task:** Compute the scalar multiplication \(-5A\). **Procedure:** To compute \(-5A\), multiply each element of the matrix \( A \) by \(-5\). **Solution:** \[ -5A = -5 \times \begin{bmatrix} -5 & -1 \\ 3 & 3 \end{bmatrix} = \begin{bmatrix} -5 \times -5 & -5 \times -1 \\ -5 \times 3 & -5 \times 3 \end{bmatrix} = \begin{bmatrix} 25 & 5 \\ -15 & -15 \end{bmatrix} \] The resulting matrix after multiplication is: \[ \begin{bmatrix} 25 & 5 \\ -15 & -15 \end{bmatrix} \]
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