Q54. Perform the indicated matrix ope... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 6: Q54. (page 391)

Perform the indicated matrix operation.
$3 [\begin{matrix} 5 & 鈭� 3 & 鈭� 1 & 4 \\ 7 & 鈭� 6 & 8 & 1 \end{matrix}]$

Short Answer

Expert verified

The addition of the matrices is $3 [\begin{matrix} 5 & 鈭� 3 & 鈭� 1 & 4 \\ 7 & 鈭� 6 & 8 & 1 \end{matrix}] = [\begin{matrix} 15 & 鈭� 9 & 鈭� 3 & 12 \\ 21 & 鈭� 18 & 24 & 3 \end{matrix}]$ .

Step by step solution

Step 1. Define the concept of scalar multiplication.

The product of a scalar $k$ and an $m 脳 n$ matrix is an $m 脳 n$ matrix in which each element equals $k$ times the corresponding elements of the original matrix.

Step 2. Multiply all the elements of the matrix with scalar 3.

In order to find $3 [\begin{matrix} 5 & 鈭� 3 & 鈭� 1 & 4 \\ 7 & 鈭� 6 & 8 & 1 \end{matrix}]$ , multiply each element of the matrix by 3.

$3 [\begin{matrix} 5 & 鈭� 3 & 鈭� 1 & 4 \\ 7 & 鈭� 6 & 8 & 1 \end{matrix}] = [\begin{matrix} 3 (5) & 3 (鈭� 3) & 3 (鈭� 1) & 3 (4) \\ 3 (7) & 3 (鈭� 6) & 3 (8) & 3 (1) \end{matrix}]$

Step 3. Simplify the matrix.

Further simplify the matrix by multiplying the elements.

$\begin{matrix} 3 [\begin{matrix} 5 & 鈭� 3 & 鈭� 1 & 4 \\ 7 & 鈭� 6 & 8 & 1 \end{matrix}] = [\begin{matrix} 3 (5) & 3 (鈭� 3) & 3 (鈭� 1) & 3 (4) \\ 3 (7) & 3 (鈭� 6) & 3 (8) & 3 (1) \end{matrix}] \\ = [\begin{matrix} 15 & 鈭� 9 & 鈭� 3 & 12 \\ 21 & 鈭� 18 & 24 & 3 \end{matrix}] \end{matrix}$

Therefore, $3 [\begin{matrix} 5 & 鈭� 3 & 鈭� 1 & 4 \\ 7 & 鈭� 6 & 8 & 1 \end{matrix}] = [\begin{matrix} 15 & 鈭� 9 & 鈭� 3 & 12 \\ 21 & 鈭� 18 & 24 & 3 \end{matrix}]$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Perform the indicated matrix operation.
$3 [\begin{matrix} 5 & 鈭� 3 & 鈭� 1 & 4 \\ 7 & 鈭� 6 & 8 & 1 \end{matrix}]$

Short Answer

Step by step solution

Step 1. Define the concept of scalar multiplication.

Step 2. Multiply all the elements of the matrix with scalar 3.

Step 3. Simplify the matrix.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Geometry

Applied Mathematics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

91影视

Perform the indicated matrix operation.3[5鈭�3鈭�147鈭�681]

Short Answer

Step by step solution

Step 1. Define the concept of scalar multiplication.

Step 2. Multiply all the elements of the matrix with scalar 3.

Step 3. Simplify the matrix.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Geometry

Applied Mathematics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation.
$3 [\begin{matrix} 5 & 鈭� 3 & 鈭� 1 & 4 \\ 7 & 鈭� 6 & 8 & 1 \end{matrix}]$