Q. 30 In Problems 25鈥� 30, find the p... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 30 (page 756)

In Problems 25鈥� 30, find the product.
$[\begin{matrix} 4 & - 2 & 3 \\ 0 & 1 & 2 \\ - 1 & 0 & 1 \end{matrix}] [\begin{matrix} 2 & 6 \\ 1 & - 1 \\ 0 & 2 \end{matrix}]$

Short Answer

Expert verified

The product of the matrices $[\begin{matrix} 4 & - 2 & 3 \\ 0 & 1 & 2 \\ - 1 & 0 & 1 \end{matrix}] [\begin{matrix} 2 & 6 \\ 1 & - 1 \\ 0 & 2 \end{matrix}]$ is $[\begin{matrix} 6 & 32 \\ 1 & 3 \\ - 2 & - 4 \end{matrix}]$

Step by step solution

Step 1. Given Information

The matrices:

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

Step 2. Observe the matrix

The first matrix is $3 脳 3$ matrix and the second matrix is $3 脳 2$ , so the resultant matrix will be of the form $3 脳 2$ matrix

Step 3. Find the product

$[\begin{matrix} 4 & - 2 & 3 \\ 0 & 1 & 2 \\ - 1 & 0 & 1 \end{matrix}] [\begin{matrix} 2 & 6 \\ 1 & - 1 \\ 0 & 2 \end{matrix}] = [\begin{matrix} 4 (2) + - 2 (1) + 3 (0) & 4 (6) + - 2 (- 1) + 3 (2) \\ 0 (2) + 1 (1) + 2 (0) & 0 (6) + 1 (- 1) + 2 (2) \\ - 1 (2) + 0 (1) + 1 (0) & - 1 (6) + 0 (- 1) + 1 (2) \end{matrix}] = [\begin{matrix} 6 & 32 \\ 1 & 3 \\ - 2 & - 4 \end{matrix}]$

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91影视

In Problems 25鈥� 30, find the product.
$[\begin{matrix} 4 & - 2 & 3 \\ 0 & 1 & 2 \\ - 1 & 0 & 1 \end{matrix}] [\begin{matrix} 2 & 6 \\ 1 & - 1 \\ 0 & 2 \end{matrix}]$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Observe the matrix

Step 3. Find the product

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91影视

In Problems 25鈥� 30, find the product.4-23012-101261-102

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Observe the matrix

Step 3. Find the product

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In Problems 25鈥� 30, find the product.
$[\begin{matrix} 4 & - 2 & 3 \\ 0 & 1 & 2 \\ - 1 & 0 & 1 \end{matrix}] [\begin{matrix} 2 & 6 \\ 1 & - 1 \\ 0 & 2 \end{matrix}]$