Chapter 11: Q. 10 (page 795)

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

Short Answer

Expert verified

The evaluation of the expression would be

$B A = [\begin{matrix} 16 & 17 \\ 3 & - 10 \end{matrix}]$

Step by step solution

Step 1. Given

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

Step 2. Calculation

$B A = [\begin{matrix} 1 & - 2 & 5 \\ 0 & 3 & 1 \end{matrix}] [\begin{matrix} 1 & - 1 \\ 0 & - 4 \\ 3 & - 2 \end{matrix}] = [\begin{matrix} 1 (1) + 0 (- 2) + 5 (3) & 1 (- 1) + (- 2) (- 4) + 5 (- 2) \\ 0 (1) + 3 (0) + 1 (3) & 0 (- 1) + 3 (- 4) + 1 (- 2) \end{matrix}] = [\begin{matrix} 16 & 17 \\ 3 & - 10 \end{matrix}]$

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

Short Answer

Step by step solution

Step 1. Given

Step 2. Calculation

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use the given matrices to compute eachexpression.A=1-10-43-2B=1-25031C=461-3-18BA

Short Answer

Step by step solution

Step 1. Given

Step 2. Calculation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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