7) Solve the linear system corresponding to the following augmented matrix: [14 0|5] 0016 00 00
7) Solve the linear system corresponding to the following augmented matrix: [14 0|5] 0016 00 00
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![```plaintext
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
6) Use a graphing utility and augmented matrix methods to solve the system:
1.8x₁ - 12.17x₂ = 33
-3.75x₁ + 5.73x₂ = 7
Express your answer accurate to three decimal places.
6) ___________
7) Solve the linear system corresponding to the following augmented matrix:
\[
\begin{bmatrix}
1 & 4 & 0 & | & 5 \\
0 & 0 & 1 & | & 6 \\
0 & 0 & 0 & | & 0 \\
\end{bmatrix}
\]
7) ___________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
8) Only one of the following augmented matrices of a linear system is in a reduced form. Choose the matrix that is in reduced form.
\[
\text{A)~}\begin{bmatrix}
0 & 1 & | & -2 \\
1 & 0 & | & -3 \\
\end{bmatrix} \quad
\text{B)~}\begin{bmatrix}
1 & 0 & | & -2 \\
0 & 0 & | & 0 \\
0 & 1 & | & -1 \\
\end{bmatrix} \quad
\text{C)~}\begin{bmatrix}
1 & 4 & 0 & | & 4 \\
0 & 0 & 1 & | & -4 \\
0 & 0 & 0 & | & 0 \\
\end{bmatrix} \quad
\text{D)~}\begin{bmatrix}
1 & 0 & | & -2 \\
0 & 0 & | & 1 \\
0 & 0 & | & 3 \\
\end{bmatrix}
\]
8) ___________
```
**Explanation of Matrices:**
- The first matrix in question](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ad954f6-3e43-4185-98a8-84783e08c6bc%2F36b36503-1963-4e2b-a8f3-0eafde2147f9%2Fndsju6_processed.png&w=3840&q=75)
Transcribed Image Text:```plaintext
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
6) Use a graphing utility and augmented matrix methods to solve the system:
1.8x₁ - 12.17x₂ = 33
-3.75x₁ + 5.73x₂ = 7
Express your answer accurate to three decimal places.
6) ___________
7) Solve the linear system corresponding to the following augmented matrix:
\[
\begin{bmatrix}
1 & 4 & 0 & | & 5 \\
0 & 0 & 1 & | & 6 \\
0 & 0 & 0 & | & 0 \\
\end{bmatrix}
\]
7) ___________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
8) Only one of the following augmented matrices of a linear system is in a reduced form. Choose the matrix that is in reduced form.
\[
\text{A)~}\begin{bmatrix}
0 & 1 & | & -2 \\
1 & 0 & | & -3 \\
\end{bmatrix} \quad
\text{B)~}\begin{bmatrix}
1 & 0 & | & -2 \\
0 & 0 & | & 0 \\
0 & 1 & | & -1 \\
\end{bmatrix} \quad
\text{C)~}\begin{bmatrix}
1 & 4 & 0 & | & 4 \\
0 & 0 & 1 & | & -4 \\
0 & 0 & 0 & | & 0 \\
\end{bmatrix} \quad
\text{D)~}\begin{bmatrix}
1 & 0 & | & -2 \\
0 & 0 & | & 1 \\
0 & 0 & | & 3 \\
\end{bmatrix}
\]
8) ___________
```
**Explanation of Matrices:**
- The first matrix in question
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