Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![**Matrix Row Operation Example:**
In this exercise, you are required to perform a row operation on a matrix. The operation to be executed is:
\[
\frac{1}{5} R_1 \quad \text{and replace } R_1
\]
**Starting Matrix:**
\[
\begin{bmatrix}
5 & 0 & 0 & 30 \\
0 & 3 & 0 & 7 \\
0 & 0 & 3 & 2 \\
\end{bmatrix}
\]
**Operation Explained:**
The operation involves multiplying every element of the first row (\(R_1\)) by \(\frac{1}{5}\):
1. The first element of \(R_1\) is \(5\): \(\frac{1}{5} \times 5 = 1\)
2. The second element is \(0\): \(\frac{1}{5} \times 0 = 0\)
3. The third element is \(0\): \(\frac{1}{5} \times 0 = 0\)
4. The fourth element is \(30\): \(\frac{1}{5} \times 30 = 6\)
**Transformed Matrix:**
\[
\begin{bmatrix}
1 & 0 & 0 & 6 \\
0 & 3 & 0 & 7 \\
0 & 0 & 3 & 2 \\
\end{bmatrix}
\]
This operation simplifies the first row, preparing the matrix for further manipulations or solution processes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c6e41b2-48f8-48f8-9e99-525c35ddf3fa%2Fe7975af1-0875-49ac-92eb-4ddabfbbc7f6%2Fqhldwxs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Matrix Row Operation Example:**
In this exercise, you are required to perform a row operation on a matrix. The operation to be executed is:
\[
\frac{1}{5} R_1 \quad \text{and replace } R_1
\]
**Starting Matrix:**
\[
\begin{bmatrix}
5 & 0 & 0 & 30 \\
0 & 3 & 0 & 7 \\
0 & 0 & 3 & 2 \\
\end{bmatrix}
\]
**Operation Explained:**
The operation involves multiplying every element of the first row (\(R_1\)) by \(\frac{1}{5}\):
1. The first element of \(R_1\) is \(5\): \(\frac{1}{5} \times 5 = 1\)
2. The second element is \(0\): \(\frac{1}{5} \times 0 = 0\)
3. The third element is \(0\): \(\frac{1}{5} \times 0 = 0\)
4. The fourth element is \(30\): \(\frac{1}{5} \times 30 = 6\)
**Transformed Matrix:**
\[
\begin{bmatrix}
1 & 0 & 0 & 6 \\
0 & 3 & 0 & 7 \\
0 & 0 & 3 & 2 \\
\end{bmatrix}
\]
This operation simplifies the first row, preparing the matrix for further manipulations or solution processes.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning