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

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The discussion revolves around understanding the structure of an augmented matrix, specifically questioning the arrangement of elements like 0, 7, 3, 1, alpha, and -2. Participants clarify that to construct the augmented matrix, one should perform row-reduction to match the provided format. Alpha represents a specific value obtained during the transformation of the original matrix to its final form. The matrix in question is not the inverse matrix but rather a representation of two linear equations. Ultimately, the value of alpha is determined from the entry in row 2, column 3 of the reduced-row matrix.
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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:

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

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
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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