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# How do you solve these matrices? watch

1. The following augmented matrices are formed from trying to solve the matrix-vector problem Ax=y (where x and y are matrices). How do you solve them?

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2. (Original post by Brian Moser)
The following augmented matrices are formed from trying to solve the matrix-vector problem Ax=y (where x and y are matrices). How do you solve them?

3. (Original post by poorform)
These are in row echelon form so can you not just use the fact (for the first) that z=-1 and then use this to solve for y and then x i.e there is one solution unique.

Second one is similar but you have infinitely many solutions since z is free to be given in terms of some constant gamma say and then you can solve for x and y in terms of gamma and you have infinitely many solutions for gamma (gamma is a real number)
First system has infinitely many solutions as well; three independent solutions in 4 variables. Usually one would assign x_2 a parameter to describe these solutions.
4. (Original post by RichE)
First system has infinitely many solutions as well; three independent solutions in 4 variables. Usually one would assign x_2 a parameter to describe these solutions.
Yes of course it does my bad

for some reason my brain decided to ignore the first columns.
5. (Original post by Brian Moser)
The following augmented matrices are formed from trying to solve the matrix-vector problem Ax=y (where x and y are matrices). How do you solve them?

Do you do any gaussian elimination on your course? EROs? If you put the matrix in RRE (reduced row echelon) form the solutions can be read from it with ease. Does any of this ring a bell?

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Updated: December 4, 2014
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