- #1
drestupinblac
- 4
- 0
Q: Find the LY-factorization of the matrix
[itex]
A = \begin{bmatrix} a & b \\ c & d \\ \end{bmatrix}
[/itex] that has 1's along the main diagonal of L. Are there any restrictions on the matrix A?
My attempt at an answer:
[itex]
L = \begin{bmatrix} 1 & 0 \\ e & 1 \\ \end{bmatrix}
U = \begin{bmatrix} a & b \\ 0 & -eb + d \\ \end{bmatrix}
[/itex]
restriction: ae (where e is some real number) must equal c.
...
I am just starting out in linear algebra and am probably completely off but I can't think
of another way to approach this question. Please help or tell me if I'm on the right tack.
Thanks!
[itex]
A = \begin{bmatrix} a & b \\ c & d \\ \end{bmatrix}
[/itex] that has 1's along the main diagonal of L. Are there any restrictions on the matrix A?
My attempt at an answer:
[itex]
L = \begin{bmatrix} 1 & 0 \\ e & 1 \\ \end{bmatrix}
U = \begin{bmatrix} a & b \\ 0 & -eb + d \\ \end{bmatrix}
[/itex]
restriction: ae (where e is some real number) must equal c.
...
I am just starting out in linear algebra and am probably completely off but I can't think
of another way to approach this question. Please help or tell me if I'm on the right tack.
Thanks!