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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Show full answers and steps to part d) e) & f)
![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).
\[
\begin{bmatrix}
0 & 0 & 0 & 0 \\
1 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 \\
\end{bmatrix}
\]
c).
\[
\begin{bmatrix}
1 & 2 & 0 \\
0 & 1 & 3 \\
0 & 2 & -1 \\
0 & 6 & 0 \\
\end{bmatrix}
\]
d).
\[
\begin{bmatrix}
1 & 3 \\
0 & 1 \\
0 & 6 \\
0 & -6 \\
\end{bmatrix}
\]
e).
\[
\begin{bmatrix}
1 & 0 & 11 \\
0 & 1 & 7 \\
\end{bmatrix}
\]
f).
\[
\begin{bmatrix}
1 & 0 & -5 & 0 \\
0 & 1 & 1 & 0 \\
0 & 0 & 1 & 1 \\
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3574180-5be7-46af-9f18-c1fbb9ec682c%2F1c5e471c-9170-4d75-b51b-c9be43569a0d%2Fqbf9dij_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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).
\[
\begin{bmatrix}
0 & 0 & 0 & 0 \\
1 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 \\
\end{bmatrix}
\]
c).
\[
\begin{bmatrix}
1 & 2 & 0 \\
0 & 1 & 3 \\
0 & 2 & -1 \\
0 & 6 & 0 \\
\end{bmatrix}
\]
d).
\[
\begin{bmatrix}
1 & 3 \\
0 & 1 \\
0 & 6 \\
0 & -6 \\
\end{bmatrix}
\]
e).
\[
\begin{bmatrix}
1 & 0 & 11 \\
0 & 1 & 7 \\
\end{bmatrix}
\]
f).
\[
\begin{bmatrix}
1 & 0 & -5 & 0 \\
0 & 1 & 1 & 0 \\
0 & 0 & 1 & 1 \\
\end{bmatrix}
\]
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