Question

Given matrix A:\[\left[\begin{matrix}3 & -6 \\ -2 & 4\end{matrix}\right]\]
How do I find matrix B such that AB= a 2x2 zero matrix? B must have 2 nonzero columns, so it isnt the zero matrix.

Answer 1

are you allowed imaginary numbers?

Answer 2

ok,
so, you'll have a-2c= 0 and b-2d =0
so you can now write B as,