Chapter 11: Q. 16 (page 793)

In Problems 13–16, use the following matrices to compute each expression.
$A = [\begin{matrix} 1 & 0 \\ 2 & 4 \\ - 1 & 2 \end{matrix}] B = [\begin{matrix} 4 & - 3 & 0 \\ 1 & 1 & - 2 \end{matrix}] C = [\begin{matrix} 3 & - 4 \\ 1 & 5 \\ 5 & 2 \end{matrix}]$
$B C$

Short Answer

Expert verified

$B C = [\begin{matrix} 9 & - 31 \\ - 6 & - 3 \end{matrix}]$

Step by step solution

Step 1. Given information

The given matrices are

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

Step 2. Find the value of expression BC.

$B C = [\begin{matrix} 4 & - 3 & 0 \\ 1 & 1 & - 2 \end{matrix}] [\begin{matrix} 3 & - 4 \\ 1 & 5 \\ 5 & 2 \end{matrix}] = [\begin{matrix} 4 \cdot 3 + (- 3) \cdot 1 + 0 \cdot 5 & 4 \cdot (- 4) + (- 3) \cdot 5 + 0 \cdot 2 \\ 1 \cdot 3 + 1 \cdot 1 + (- 2) \cdot 5 & 1 \cdot (- 4) + 1 \cdot 5 + (- 2) \cdot 2 \end{matrix}] = [\begin{matrix} 9 & - 31 \\ - 6 & - 3 \end{matrix}]$

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In Problems 13–16, use the following matrices to compute each expression.
$A = [\begin{matrix} 1 & 0 \\ 2 & 4 \\ - 1 & 2 \end{matrix}] B = [\begin{matrix} 4 & - 3 & 0 \\ 1 & 1 & - 2 \end{matrix}] C = [\begin{matrix} 3 & - 4 \\ 1 & 5 \\ 5 & 2 \end{matrix}]$
$B C$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the value of expression BC.

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In Problems 13–16, use the following matrices to compute each expression.A=1024-12B=4-3011-2C=3-41552BC

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the value of expression BC.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Statistics

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

In Problems 13–16, use the following matrices to compute each expression.
$A = [\begin{matrix} 1 & 0 \\ 2 & 4 \\ - 1 & 2 \end{matrix}] B = [\begin{matrix} 4 & - 3 & 0 \\ 1 & 1 & - 2 \end{matrix}] C = [\begin{matrix} 3 & - 4 \\ 1 & 5 \\ 5 & 2 \end{matrix}]$
$B C$