2. Determine whether each of the following matrices are in row-echelon form, Reduced row-echelon form, or neither and explain why. a). d). 123 0 00 ; 0 1 1 0 0 0 3 1 6 -6 b). e). 00000 10000 01000 0 0 1 0 0 0 1 11 #] 7 f). c). 1 0 0 12 0 01 3 02 -1 06 0 0 -5 0 1 1 0 0 0 1
2. Determine whether each of the following matrices are in row-echelon form, Reduced row-echelon form, or neither and explain why. a). d). 123 0 00 ; 0 1 1 0 0 0 3 1 6 -6 b). e). 00000 10000 01000 0 0 1 0 0 0 1 11 #] 7 f). c). 1 0 0 12 0 01 3 02 -1 06 0 0 -5 0 1 1 0 0 0 1
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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![**Problem 2**: Determine whether each of the following matrices are in row-echelon form, reduced row-echelon form, or neither, and explain why.
**a)**
\[
\begin{bmatrix}
1 & 2 & 3 \\
0 & 0 & 0 \\
0 & 0 & 1
\end{bmatrix}
\]
**b)**
\[
\begin{bmatrix}
0 & 0 & 0 & 0 & 0 \\
1 & 0 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 & 0 \\
0 & 0 & 1 & 0 & 0
\end{bmatrix}
\]
**c)**
\[
\begin{bmatrix}
1 & 2 & 0 \\
0 & 1 & 3 \\
0 & 2 & -1 \\
0 & 6 & 0
\end{bmatrix}
\]
**d)**
\[
\begin{bmatrix}
1 & 3 \\
0 & 1 \\
0 & 6
\end{bmatrix}
\]
**e)**
\[
\begin{bmatrix}
1 & 0 & 11 \\
0 & 1 & 7
\end{bmatrix}
\]
**f)**
\[
\begin{bmatrix}
1 & 0 & -5 & 0 \\
0 & 1 & 1 & 0 \\
0 & 0 & 0 & 1
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3574180-5be7-46af-9f18-c1fbb9ec682c%2Ff0086ce0-abfa-4f46-b526-4adbdaade2cb%2F5k1inz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 2**: Determine whether each of the following matrices are in row-echelon form, reduced row-echelon form, or neither, and explain why.
**a)**
\[
\begin{bmatrix}
1 & 2 & 3 \\
0 & 0 & 0 \\
0 & 0 & 1
\end{bmatrix}
\]
**b)**
\[
\begin{bmatrix}
0 & 0 & 0 & 0 & 0 \\
1 & 0 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 & 0 \\
0 & 0 & 1 & 0 & 0
\end{bmatrix}
\]
**c)**
\[
\begin{bmatrix}
1 & 2 & 0 \\
0 & 1 & 3 \\
0 & 2 & -1 \\
0 & 6 & 0
\end{bmatrix}
\]
**d)**
\[
\begin{bmatrix}
1 & 3 \\
0 & 1 \\
0 & 6
\end{bmatrix}
\]
**e)**
\[
\begin{bmatrix}
1 & 0 & 11 \\
0 & 1 & 7
\end{bmatrix}
\]
**f)**
\[
\begin{bmatrix}
1 & 0 & -5 & 0 \\
0 & 1 & 1 & 0 \\
0 & 0 & 0 & 1
\end{bmatrix}
\]
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