# Homework Help: Binomial Formula in Matricces

1. Mar 19, 2012

### Crution

1. The problem statement, all variables and given/known data

I'm sorry this doesnt look too nice but it is supposed to be two matricces.

Show:

|1 a1-b1 a1+b1| |1 a1 b1|
|1 a2-b2 a2+b2|=2*|1 a2 b2|
|1 a3-b3 a3+b3| |1 a3 b3|

without evaluating the determinants.

2. Relevant equations

3. The attempt at a solution

It pretty obviously has got something to do with the 3. binomial formula and the rule that λ*A = λ*every value in the matrix.

I really don't know where to start on this, since I can't evaluate the determinants.
I'm pretty sure there is an easy way to do this, but I just can't see it.

Help is very much appreciated!

Thank you

2. Mar 19, 2012

### tiny-tim

Welcome to PF!

Hi Crution! Welcome to PF!

Do you know any rules for adding one column to another column?

3. Mar 20, 2012

### Crution

thanks that was enough help :-)