Consider the following augmented matrix: 0 0 2 0 3 | -3 5 1 00 1 22 -1 1 a. Is the matrix in row-echelon form, reduced row-echelon form, or neither? Why? b. Write the solution set (use parameters as needed). NOTE: Say what your variables are (in order) before you start
Consider the following augmented matrix: 0 0 2 0 3 | -3 5 1 00 1 22 -1 1 a. Is the matrix in row-echelon form, reduced row-echelon form, or neither? Why? b. Write the solution set (use parameters as needed). NOTE: Say what your variables are (in order) before you start
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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![Consider the following augmented matrix:
\[
\begin{bmatrix}
1 & -1 & 2 & 0 & 3 & | & 1 \\
0 & 1 & -3 & 5 & 1 & | & 0 \\
0 & 0 & 0 & 1 & 2 & | & 2 \\
\end{bmatrix}
\]
a. Is the matrix in row-echelon form, reduced row-echelon form, or neither? Why?
b. Write the solution set (use parameters as needed). **NOTE:** Say what your variables are (in order) before you start trying to write the solution set!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80321e65-f5af-4407-990e-2a73bdb503ea%2F9ecfc3f7-4183-46f8-945e-9d0bfbeeb86c%2F6yc7y_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following augmented matrix:
\[
\begin{bmatrix}
1 & -1 & 2 & 0 & 3 & | & 1 \\
0 & 1 & -3 & 5 & 1 & | & 0 \\
0 & 0 & 0 & 1 & 2 & | & 2 \\
\end{bmatrix}
\]
a. Is the matrix in row-echelon form, reduced row-echelon form, or neither? Why?
b. Write the solution set (use parameters as needed). **NOTE:** Say what your variables are (in order) before you start trying to write the solution set!
Expert Solution
Step 1
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.
the given augmented matrix is
as we can see, the below entries of the pivot are zero
but the above entries of pivots are non-zero
hence the given augmented matrix is in the row-echelon form
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