Re: good text for linear algebra?

In article <d4ta4n$ik3$1@xxxxxxxxxxxxxxxxx>, Robin Chapman
<rjc@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx> wrote:

> That is not what I said --- but out of these two methods, Gaussian
> elimination is the more practical.

more practical for some purposes, less practical for others.

> >> > At one point
> >> > I said: "This system of linear equations can be solved by Cramer's
> >> > Rule."
> >> Was Cramer's rule essential to the matter at hand?
>
> Was it?

Coddington, AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS, p. 86...
Non-homogeneous linear DE of order n, solved by the method
of variation of parameters. We get a formula which is a quotient
of n x n determinants, the denominator being the Wronskian. You can
see from the formula the properties of the solution that you want.
If the student has seen Cramer's Rule before, then he understands
where the formula came from.

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
.

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