Write an augmented matrix for the following system of equations. 8y + 7y + y - X 3x 6z = - 6 4z = 7 2z = - 1 The entries in the matrix are:
Write an augmented matrix for the following system of equations. 8y + 7y + y - X 3x 6z = - 6 4z = 7 2z = - 1 The entries in the matrix are:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Augmented Matrix for a System of Equations**
To write an augmented matrix for the following system of equations, list the coefficients of each variable and the constants from the equations:
1. \(x - 8y + 6z = -6\)
2. \(3x - 7y + 4z = 7\)
3. \(y - 2z = -1\)
The matrix will be structured with each row representing an equation, and each column representing a variable or the constants on the right side of the equations. The augmented matrix is:
\[
\begin{bmatrix}
1 & -8 & 6 & | & -6 \\
3 & -7 & 4 & | & 7 \\
0 & 1 & -2 & | & -1
\end{bmatrix}
\]
In the diagram, placeholders are shown in a bracketed grid to fill with these numerical entries to form the augmented matrix structure.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee3c64d2-01dd-4111-abc5-fb2af0867c00%2Fa4259887-be4d-4783-b61e-1ab885af2bff%2F3iwwqkq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Augmented Matrix for a System of Equations**
To write an augmented matrix for the following system of equations, list the coefficients of each variable and the constants from the equations:
1. \(x - 8y + 6z = -6\)
2. \(3x - 7y + 4z = 7\)
3. \(y - 2z = -1\)
The matrix will be structured with each row representing an equation, and each column representing a variable or the constants on the right side of the equations. The augmented matrix is:
\[
\begin{bmatrix}
1 & -8 & 6 & | & -6 \\
3 & -7 & 4 & | & 7 \\
0 & 1 & -2 & | & -1
\end{bmatrix}
\]
In the diagram, placeholders are shown in a bracketed grid to fill with these numerical entries to form the augmented matrix structure.
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