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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)
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!
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!
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the given augmented matrix is 

\begin{pmatrix}{\color{Red} 1}&-1&2&0&3&1\\ 0&{\color{Red} 1}&-3&5&1&0\\ 0&0&0&{\color{Red} 1}&2&2\end{pmatrix}

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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