Augmented Matrices: 0,7,3,1,alpha,-2

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Homework Help Overview

The discussion revolves around understanding an augmented matrix related to a set of linear equations. Participants are trying to clarify the structure and components of the matrix, particularly the role of the variable alpha.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the arrangement of elements in the augmented matrix and the significance of alpha. There are attempts to clarify whether the matrix represents an inverse matrix and discussions about row-reducing the matrix to achieve a specific form.

Discussion Status

Some guidance has been offered regarding the construction of the augmented matrix and the use of row operations. Multiple interpretations of the matrix's purpose and the meaning of alpha are being explored, with no explicit consensus reached.

Contextual Notes

There are mentions of confusion regarding the representation of the augmented matrix and the specific value of alpha during transformations. Participants are also discussing the limitations of their ability to visually represent the matrix format.

Ry122
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How is this an augmented matrix?
Shouldn't 0 and 7 be 3 and 1 and alpha be -2?
http://users.on.net/~rohanlal/Untitled-1.jpg
 
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The problem says associated augmented matrix.

Yes, construct the augmented matrix just as you say, then row-reduce to what they show. What is alpha?
 
What is the matrix that is shown? Is it the inverse matrix?



What is alpha?

http://en.wikipedia.org/wiki/Alpha_(letter )
 
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Ry122 said:
What is the matrix that is shown? Is it the inverse matrix?





http://en.wikipedia.org/wiki/Alpha_(letter )

:smile:

I think he meant what is the alpha value when you transform your original augmented matrix to the final one (just do some row ops)
 
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No, it's not the inverse matrix. That matrix is obtained when you express the 2 linear equations in the form of a matrix:

[tex]\left(\begin{array}{ccc}1&-2&1\\3&1&-2\end{array}\right)[/tex]

EDIT: I have no idea how to draw the vertical line in the matrix to represent an augmented matrix.

From here you just use row operations to get the matrix in the form given by the question. Alpha is then the value of whatever you have in entry row 2 column 3 of your reduced-row matrix
 

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