Chapter 11: Q. 8 (page 795)

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

Short Answer

Expert verified

The evaluation of the expression would be

$A - 3 C = [\begin{matrix} - 11 & - 19 \\ - 3 & 5 \\ 6 & - 22 \end{matrix}]$

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

$A - 3 C = [\begin{matrix} 1 & - 1 \\ 0 & - 4 \\ 3 & - 2 \end{matrix}] - 3 [\begin{matrix} 4 & 6 \\ 1 & - 3 \\ - 1 & 8 \end{matrix}] = [\begin{matrix} - 11 & - 19 \\ - 3 & 5 \\ 6 & - 22 \end{matrix}]$

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

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=461-3-18A-3C

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

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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