Chapter 11: Q. 7 (page 795)

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

Short Answer

Expert verified

The evaluation of the expression would be

$2 A + C = [\begin{matrix} 6 & 4 \\ 1 & - 11 \\ 5 & 4 \end{matrix}]$

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

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

Now

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

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

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=461-3-182A+C

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

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Decision Maths

Mechanics Maths

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Calculus

Study anywhere. Anytime. Across all devices.

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