Matrix

CatchThis2

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Feb 6, 2010
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Determine the value of h such that the matrix is the augmented matrix of a consistent linear system.
 

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Do you "see" that each equation is a multiple of the other? There are an infinite number of solutions to this system, when h represents the proper constant.

Think: "What would I need to multiply the first equation by, in order to obtain the second equation?"

Then, do it, because that multiple of h is equal to 3.

If none of this makes sense, then perhaps you have not yet learned the meaning of an augmented coefficient matrix representing a consistent system of two equations.

I really don't know what you need because your request for help is so vague. You've made no statements about what you already know or tried. You've asked no questions, so far. The more specifics that you offer about your situation, the better the responses that you will get back.
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I did multiply the top row by -4 to get the top and bottom row = to each other. Is h= -4?
 
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After multiplying both sides of the first equation by -4, we have the following system.

-16x + 28y = -4h

-16x + 28y = 3

In order for these two equations to comprise a consistent system, they have to be identical.

The only way that they can be identical is if -4h = 3, yes?

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