- #1

- 13

- 0

## Homework Statement

Let B=[tex]

\begin{pmatrix}

λ-3 & 12 & -1 \\

0 & λ+2 & λ \\

0 & 0 & 5

\end{pmatrix}

[/tex]

For what values of λ does matrix B have an inverse?

## Homework Equations

## The Attempt at a Solution

I first tried to calculate det(B)=(λ-3)(5λ+10) +0 -0

to get x=-2 or 3.

I'm unsure if this calculation helps me, and what to do beyond this point.