# Math Help - Determinant

1. ## Determinant

Please help me to obtain the value of the following determinant:

$\det\begin{bmatrix}((b+c)^2 & ab & ca\\ab & (c+a)^2 & bc\\ca & bc & (a+b)^2)\end{bmatrix}$.

Thanks.

2. ## Re: Determinant

Originally Posted by kjchauhan
Please help me to obtain the value of the following determinant:

$\det\begin{bmatrix}((b+c)^2 & ab & ca\\ab & (c+a)^2 & bc\\ca & bc & (a+b)^2)\end{bmatrix}$.

Thanks.
Here's a good link for this. Look up the section on 3x3 matrices...it shows the method of "expansion by minors."

Does that help enough? Please let us know.

-Dan

3. ## Re: Determinant

EXPAND WITH MINORS AND YOU WILL GET EASILY

2abc(a+b+c)^3 as simple as such.
Minoas