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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. 11 (page 755)

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

Short Answer

Expert verified

$4 A = [\begin{matrix} 0 & 12 & - 20 \\ 4 & 8 & 24 \end{matrix}]$

Step by step solution

01

Step 1. Given

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

02

Step 2. Calculation

$A = [\begin{matrix} 0 & 3 & - 5 \\ 1 & 2 & 6 \end{matrix}] 4 A = [\begin{matrix} 0 & 12 & - 20 \\ 4 & 8 & 24 \end{matrix}]$

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Most popular questions from this chapter

The Tortoise and the Hare: In a 21-meter race between a tortoise and a hare, the tortoise leaves 9 minutes before the hare. The hare, by running at an average speed of 0.5 meter per hour faster than the tortoise, crosses the finish line 3minutes before the tortoise. What are the average speeds of the tortoise and the hare?

The product of two numbers is $4$ , and the sum of their squares is $8$ . Find the numbers.

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

$\{\begin{cases} 2 x + 4 y = \frac{2}{3} \\ 3 x - 5 y = - 1 \end{cases}$

Verify that the values of the variables listed are solutions of the system of equations.

$\{\begin{matrix} x - y = 3 \\ - 3 x + y = 1 \end{matrix} x = - 2, y = - 5; (- 2, - 5)$

The altitude of an isosceles triangle drawn to its base is $3 c m$ , and its perimeter is $18 c m$ . Find the length of its base.

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