Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![Let \( A = \begin{bmatrix} 0 & -2 \\ 5 & -8 \end{bmatrix} \).
Find \( 4A \).
---
To find \( 4A \), multiply each element of the matrix \( A \) by 4.
\[
4A = 4 \times \begin{bmatrix} 0 & -2 \\ 5 & -8 \end{bmatrix} = \begin{bmatrix} 4 \times 0 & 4 \times -2 \\ 4 \times 5 & 4 \times -8 \end{bmatrix} = \begin{bmatrix} 0 & -8 \\ 20 & -32 \end{bmatrix}
\]
Thus, \( 4A = \begin{bmatrix} 0 & -8 \\ 20 & -32 \end{bmatrix} \).
This exercise is presented in a linear format with a step-by-step guide to help you understand matrix scalar multiplication.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae259756-8f06-4e5c-ae2d-b16c40451d6f%2F10d31dfc-a7a5-4262-89ba-0831111a9257%2Fi6atmpv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( A = \begin{bmatrix} 0 & -2 \\ 5 & -8 \end{bmatrix} \).
Find \( 4A \).
---
To find \( 4A \), multiply each element of the matrix \( A \) by 4.
\[
4A = 4 \times \begin{bmatrix} 0 & -2 \\ 5 & -8 \end{bmatrix} = \begin{bmatrix} 4 \times 0 & 4 \times -2 \\ 4 \times 5 & 4 \times -8 \end{bmatrix} = \begin{bmatrix} 0 & -8 \\ 20 & -32 \end{bmatrix}
\]
Thus, \( 4A = \begin{bmatrix} 0 & -8 \\ 20 & -32 \end{bmatrix} \).
This exercise is presented in a linear format with a step-by-step guide to help you understand matrix scalar multiplication.
Expert Solution
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