Given the matrix 1 -1 -1 3-2 -2 3 3-6 6 Use elementary row operations to carry it to a matrix that is a) In row-echelon form but not in reduced row-echelon form: 0000 Row-echelon form: 0 0 00 0 0 0 0 b) In reduced row-echelon form: 0000 Reduced row-echelon form: 0 0 0 0 0 0 0 0
Given the matrix 1 -1 -1 3-2 -2 3 3-6 6 Use elementary row operations to carry it to a matrix that is a) In row-echelon form but not in reduced row-echelon form: 0000 Row-echelon form: 0 0 00 0 0 0 0 b) In reduced row-echelon form: 0000 Reduced row-echelon form: 0 0 0 0 0 0 0 0
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Given the matrix:**
\[
\begin{bmatrix}
1 & -1 & -1 & 3 & -2 \\
-2 & 3 & 3 & -6 & 6
\end{bmatrix}
\]
Use elementary row operations to carry it to a matrix that is:
a) **In row-echelon form but not in reduced row-echelon form:**
Row-echelon form:
\[
\begin{bmatrix}
0 & 0 & 0 & 0 \\
0 & 0 & 0 & 0
\end{bmatrix}
\]
b) **In reduced row-echelon form:**
Reduced row-echelon form:
\[
\begin{bmatrix}
0 & 0 & 0 & 0 \\
0 & 0 & 0 & 0
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7154a3f3-e619-45a8-a06e-684279d32bee%2F5a9910f8-1236-40a3-8f5e-dce6ad6aa964%2Fbnwglz8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Given the matrix:**
\[
\begin{bmatrix}
1 & -1 & -1 & 3 & -2 \\
-2 & 3 & 3 & -6 & 6
\end{bmatrix}
\]
Use elementary row operations to carry it to a matrix that is:
a) **In row-echelon form but not in reduced row-echelon form:**
Row-echelon form:
\[
\begin{bmatrix}
0 & 0 & 0 & 0 \\
0 & 0 & 0 & 0
\end{bmatrix}
\]
b) **In reduced row-echelon form:**
Reduced row-echelon form:
\[
\begin{bmatrix}
0 & 0 & 0 & 0 \\
0 & 0 & 0 & 0
\end{bmatrix}
\]
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