Using determinants to solve systems of equations

Turion · Oct 3, 2013

Homework Statement

Handwritten 3x3 determinant with rows (x, x^-2, x^-2 lnx), (1, -2x^-3, -2x^-3 lnx + x^-3), (0, 6x^-4, x^-4(6 lnx - 5)), labelled W.

Homework Equations

The Attempt at a Solution

Handwritten-style typeset derivation of a 3x3 Wronskian determinant W with entries in x and ln x, expanded along the first column into 2x2 minors and simplified to x^-6(21 - 24 ln x).

Ray Vickson · Oct 3, 2013

Turion said:

Homework Statement

Homework Equations

The Attempt at a Solution

What is your question?

SteamKing · Oct 3, 2013

If you are trying to evaluate the determinant, there is an arithmetic mistake in calculating the first 2x2 minor, specifically in calculating a12*a21.

Turion · Oct 4, 2013

Thanks. I make so many dumb mistakes. :(

Ray Vickson · Oct 4, 2013

Turion said:

Thanks. I make so many dumb mistakes. :(

You mean like not stating the question?

Using determinants to solve systems of equations

Homework Statement

Homework Equations

The Attempt at a Solution

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Homework Statement

Homework Equations

The Attempt at a Solution

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