Consider the following. 2 -3 1 -3 1 21 +] [3] 1 0-2 25-3 (a) Find A + B. A (b) Find A B. 1 (c) Find 2B. (d) Find 2A- 3B.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
Consider the following matrices:

\[ A = \begin{bmatrix} 2 & -3 & 1 \\ 1 & 0 & -2 \end{bmatrix} \]

\[ B = \begin{bmatrix} -3 & 1 & 2 \\ 2 & 5 & -3 \end{bmatrix} \]

(a) Find \( A + B \).

\[ 
\begin{bmatrix}
\quad \quad & \quad \quad & \quad \quad \\ 
\quad \quad & \quad \quad & \quad \quad
\end{bmatrix} 
\]

(b) Find \( A - B \).

\[
\begin{bmatrix}
\quad \quad & \quad \quad & \quad \quad \\ 
\quad \quad & \quad \quad & \quad \quad
\end{bmatrix} 
\]

(c) Find \( 2B \).

\[
\begin{bmatrix}
\quad \quad & \quad \quad & \quad \quad \\ 
\quad \quad & \quad \quad & \quad \quad
\end{bmatrix} 
\]

(d) Find \( 2A - 3B \).

\[
\begin{bmatrix}
\quad \quad & \quad \quad & \quad \quad \\ 
\quad \quad & \quad \quad & \quad \quad
\end{bmatrix} 
\]
Transcribed Image Text:Consider the following matrices: \[ A = \begin{bmatrix} 2 & -3 & 1 \\ 1 & 0 & -2 \end{bmatrix} \] \[ B = \begin{bmatrix} -3 & 1 & 2 \\ 2 & 5 & -3 \end{bmatrix} \] (a) Find \( A + B \). \[ \begin{bmatrix} \quad \quad & \quad \quad & \quad \quad \\ \quad \quad & \quad \quad & \quad \quad \end{bmatrix} \] (b) Find \( A - B \). \[ \begin{bmatrix} \quad \quad & \quad \quad & \quad \quad \\ \quad \quad & \quad \quad & \quad \quad \end{bmatrix} \] (c) Find \( 2B \). \[ \begin{bmatrix} \quad \quad & \quad \quad & \quad \quad \\ \quad \quad & \quad \quad & \quad \quad \end{bmatrix} \] (d) Find \( 2A - 3B \). \[ \begin{bmatrix} \quad \quad & \quad \quad & \quad \quad \\ \quad \quad & \quad \quad & \quad \quad \end{bmatrix} \]
Expert Solution
Step 1: Evaluate the matrix

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