- #1
Gunni
- 40
- 0
I'm trying to learn linear algebra by myself from a book called "Introduction to linear algebra" by A.D. Martin and V.J. Mizel. One point I'm so far pretty confused about is whether a matix has a solution only if m equals n? I think the book says that if m < n the matrix has infinite solutions, which makes sense, but it doesn't say anything about when m > n. In that case, is there a solution?
The book has problems for you to solve, but no answers. That doesn't matter if a matrix has a solution you can verify, but I'm getting a suspicious number of matrices that have no solutions. I think I don't understand the Gaussian reduction algorithm well enough, at least I find that the following matrix has no solutions, when according to the book it should since m = n.
I'll write it as an equation, I have no idea how to do it properly in latex.
2x + 3y + z = 5
x + 0y - z = 1
2x - 9y - 11z = -5
The book has problems for you to solve, but no answers. That doesn't matter if a matrix has a solution you can verify, but I'm getting a suspicious number of matrices that have no solutions. I think I don't understand the Gaussian reduction algorithm well enough, at least I find that the following matrix has no solutions, when according to the book it should since m = n.
I'll write it as an equation, I have no idea how to do it properly in latex.
2x + 3y + z = 5
x + 0y - z = 1
2x - 9y - 11z = -5
Last edited: