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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. 12 (page 755)

Use the following matrices to evaluate the given expression.
$A = [\begin{matrix} 0 & 3 & - 5 \\ 1 & 2 & 6 \end{matrix}], B = [\begin{matrix} 4 & 1 & 0 \\ - 2 & 3 & - 2 \end{matrix}], C = [\begin{matrix} 4 & 1 \\ 6 & 2 \\ - 2 & 3 \end{matrix}]$
$- 3 B$

Short Answer

Expert verified

- $- 3 B = [\begin{matrix} - 12 & - 3 & 0 \\ 6 & - 9 & 6 \end{matrix}]$

Step by step solution

01

Step 1. Given Information

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

02

Step 2. Calculation

$- 3 B = - 3 [\begin{matrix} 4 & 1 & 0 \\ - 2 & 3 & - 2 \end{matrix}] = [\begin{matrix} - 12 & - 3 & 0 \\ 6 & - 9 & 6 \end{matrix}]$

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Most popular questions from this chapter

Solve each system of equations. If the system has no solution, say that it is inconsistent.
$\{\begin{cases} 3 x - 6 y = 2 \\ 5 x + 4 y = 1 \end{cases}$

An area of $52 f e e t^{2}$ is to be enclosed by two squares whose sides are in the ratio of $2 : 3$ . Find the sides of the squares.

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

Solve the equation:

$3 x + 4 = 8 - x$

If a system of equations has no solution, it is said to be _______.

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