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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 7 (page 795)

use the given matrices to compute each
expression.
$A = [\begin{matrix} 1 & - 1 \\ 0 & - 4 \\ 3 & - 2 \end{matrix}] B = [\begin{matrix} 1 & - 2 & 5 \\ 0 & 3 & 1 \end{matrix}] C = [\begin{matrix} 4 & 6 \\ 1 & - 3 \\ - 1 & 8 \end{matrix}]$
$2 A + C$

Short Answer

Expert verified

The evaluation of the expression would be

$2 A + C = [\begin{matrix} 6 & 4 \\ 1 & - 11 \\ 5 & 4 \end{matrix}]$

Step by step solution

01

Step 1. Given

$A = [\begin{matrix} 1 & - 1 \\ 0 & - 4 \\ 3 & - 2 \end{matrix}] B = [\begin{matrix} 1 & - 2 & 5 \\ 0 & 3 & 1 \end{matrix}] C = [\begin{matrix} 4 & 6 \\ 1 & - 3 \\ - 1 & 8 \end{matrix}]$

02

Step 2. Calculation

$2 A = 2 [\begin{matrix} 1 & - 1 \\ 0 & - 4 \\ 3 & - 2 \end{matrix}] = [\begin{matrix} 2 & - 2 \\ 0 & - 8 \\ 6 & - 4 \end{matrix}]$

Now

$2 A + C = [\begin{matrix} 2 & - 2 \\ 0 & - 8 \\ 6 & - 4 \end{matrix}] + [\begin{matrix} 4 & 6 \\ 1 & - 3 \\ - 1 & 8 \end{matrix}] = [\begin{matrix} 6 & 4 \\ 1 & - 11 \\ 5 & 4 \end{matrix}]$

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Most popular questions from this chapter

Graph each inequality by hand.

$2 x + y 鈮� 6$

The ratio of a to b is $\frac{2}{3}$ . The sum of a and b is $10$ . What is the ratio of $a + b$ to $b - a$ ?

If a system of equations has one solution, the system is ________ and the equations are ________.

Solve each system of equations. If the system has no solution, say that it is inconsistent

x + 2y - z = -3

2x - 4y + z = -7

-2x + 2y - 3z = 4

Solve each system of equations. If the system has no solution, say that it is inconsistent.
$\{\begin{matrix} x + 3 y = 5 \\ 2 x - 3 y = - 8 \end{matrix}$

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