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[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!