(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the values of h such that the matrix is the augmented matrix of a consistent linear system.

[1 h -5]

[2 -8 6]

2. Relevant equations

None that I know of.

3. The attempt at a solution

Multiplied row (1) by -2:

[-2 -2h 10 ]

[ 2 -8 6 ]

and added together to get: -2h -8 = 16

and of course you can solve that for -2h=24

and h = -12.

So is it correct to say H can be any value other than -12 in order to make the system consistent? Please let me know if its correct. If not, please tell me what I need to do to get the correct answer. Thanks!

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# Linear algebra: augmented matrix of a consistent system

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