The problem is
Sorry I'm new. That's the best I could write the problem. It's easy to find the determinant with expansion by minors but to get the simplified solution involves some sort of clever trick that I don't know of. Here's what I can get to.
There are many ways to factor out terms from this.
There are even more ways of course. None of these ways lead me to the simple solution:
Can someone explain how to factor this? Thanks.
Hello, binarybob0001!
Here's an approach I "discovered" years ago . . .The problem is: .
Sorry I'm new. . . . . Welcome aboard!
That's the best I could write the problem. . . . . Good job!
It's easy to find the determinant with expansion by minors
but to get the simplified solution involves some sort of clever trick that I don't know of.
Here's what I can get to:
. .
There are many ways to factor out terms from this.
None of these ways lead me to the simple solution:
. .
Can someone explain how to factor this?
Collect terms with respect to one of the variables.
Let's use
. . Collect terms with , and with , and 'constants' (no 's).
We have: .
Factor "by grouping": .
. .
Factor out
. .
Factor "by grouping": .
Factor out . . . . ta-DAA!