Chapter 11: Q. 20 (page 756)

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

Short Answer

Expert verified

$(A + B) C = [\begin{matrix} 50 & - 3 \\ 18 & 21 \end{matrix}]$

Step by step solution

Step 1. Given Information

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

Step 2. Calculation

$A = [\begin{matrix} 0 & 3 & - 5 \\ 1 & 2 & 6 \end{matrix}], B = [\begin{matrix} 4 & 1 & 0 \\ - 2 & 3 & - 2 \end{matrix}], C = [\begin{matrix} 4 & 1 \\ 6 & 2 \\ - 2 & 3 \end{matrix}] A + B = [\begin{matrix} 0 & 3 & - 5 \\ 1 & 2 & 6 \end{matrix}] + [\begin{matrix} 4 & 1 & 0 \\ - 2 & 3 & - 2 \end{matrix}] = [\begin{matrix} 4 & 4 & - 5 \\ - 1 & 5 & - 4 \end{matrix}] (A + B) C = [\begin{matrix} 4 & 4 & - 5 \\ - 1 & 5 & - 4 \end{matrix}] [\begin{matrix} 4 & 1 \\ 6 & 2 \\ - 2 & 3 \end{matrix}] = [\begin{matrix} 4 \times 4 + 4 \times 6 + (- 5) (- 2) & 4 \times 1 + 4 \times 2 + (- 5) \times 3 \\ (- 1) \times 4 + 5 \times 6 + (- 4) (- 2) & (- 1) \times 1 + 5 \times 2 + (- 4) 3 \end{matrix}] = [\begin{matrix} 50 & - 3 \\ 18 & 21 \end{matrix}]$

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

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Use the following matrices to evaluate the given expression.A=03-5126,B=410-23-2,C=4162-23(A+B)C

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Probability and Statistics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

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