Chapter 4: Q8. (page 174)

Perform the indicated matrix operations.8.
$5 [\begin{array}{l} \begin{matrix} - 2 & 4 & 5 \end{matrix} \\ \begin{matrix} 0 & - 4 & 7 \end{matrix} \end{array}]$

Short Answer

Expert verified

The answer is $[\begin{matrix} - 10 & 20 & 25 \\ 0 & - 20 & 35 \end{matrix}]$

Step by step solution

- State the definition of a matrix.

A rectangular array of numbers arranged in rows and columns is called a matrix.

- Solve the matrix.

To evaluate the matrix use scalar multiplication.

Scalar multiplication is the method in which matrix is multiplied by a constant called scalar.

The matrix is: $5 [\begin{matrix} - 2 & 4 & 5 \\ 0 & - 4 & 7 \end{matrix}]$

Here, 5 is the scalar. Multiply each element of the matrix by 5.

$\begin{matrix} 5 [\begin{matrix} - 2 & 4 & 5 \\ 0 & - 4 & 7 \end{matrix}] = [\begin{matrix} 5 \times - 2 & 5 \times 4 & 5 \times 5 \\ 5 \times 0 & 5 \times - 4 & 5 \times 7 \end{matrix}] \\ = [\begin{matrix} - 10 & 20 & 25 \\ 0 & - 20 & 35 \end{matrix}] \end{matrix}$

- State the conclusion.

Therefore, the resultant matrix is $[\begin{matrix} - 10 & 20 & 25 \\ 0 & - 20 & 35 \end{matrix}]$

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Perform the indicated matrix operations.8.
$5 [\begin{array}{l} \begin{matrix} - 2 & 4 & 5 \end{matrix} \\ \begin{matrix} 0 & - 4 & 7 \end{matrix} \end{array}]$

Short Answer

Step by step solution

- State the definition of a matrix.

- Solve the matrix.

- State the conclusion.

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Perform the indicated matrix operations.8.5[−2450−47]

Short Answer

Step by step solution

- State the definition of a matrix.

- Solve the matrix.

- State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

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Discrete Mathematics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operations.8.
$5 [\begin{array}{l} \begin{matrix} - 2 & 4 & 5 \end{matrix} \\ \begin{matrix} 0 & - 4 & 7 \end{matrix} \end{array}]$