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...
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![**Transcription for Educational Website:**
---
Write the augmented matrix of the given system of equations:
\[
\begin{align*}
0.05x - 0.04y & = 0.04 \\
0.17x + 0.40y & = 0.30 \\
\end{align*}
\]
**Explanation:**
To form the augmented matrix, each equation is represented as a row, listing coefficients of the variables and the constants on the right side. This matrix is used to simplify solving systems of equations using methods such as Gaussian elimination.
The augmented matrix for the given system is:
\[
\begin{bmatrix}
0.05 & -0.04 & | & 0.04 \\
0.17 & 0.40 & | & 0.30 \\
\end{bmatrix}
\]
In this matrix, each row corresponds to one equation in the system, with the last column representing the constants on the equation's right-hand side. The vertical line separates the coefficients from the constants, emphasizing the augmented part of the matrix.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F238f500e-fb01-442a-b5c4-e9cc2a608cbb%2Fdba6f3c2-bed0-40bb-b79c-f9db6f778b56%2Fex1eqya_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
---
Write the augmented matrix of the given system of equations:
\[
\begin{align*}
0.05x - 0.04y & = 0.04 \\
0.17x + 0.40y & = 0.30 \\
\end{align*}
\]
**Explanation:**
To form the augmented matrix, each equation is represented as a row, listing coefficients of the variables and the constants on the right side. This matrix is used to simplify solving systems of equations using methods such as Gaussian elimination.
The augmented matrix for the given system is:
\[
\begin{bmatrix}
0.05 & -0.04 & | & 0.04 \\
0.17 & 0.40 & | & 0.30 \\
\end{bmatrix}
\]
In this matrix, each row corresponds to one equation in the system, with the last column representing the constants on the equation's right-hand side. The vertical line separates the coefficients from the constants, emphasizing the augmented part of the matrix.
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