matrix: How can i find all (2x3) B matrixes if AB is zero matrix, A= [[-1 -1][3 3]]?

[Hille]

How can i find all (2x3) B matrixes if AB is zero matrix and A= -1 -1 ?????
3 3

 

[ksdhart2]

How can i find all (2x3) B matrixes if AB is zero matrix and A= -1 -1 ?????
3 3

Just so we're all on the same page, the question you were tasked to answer was something like this: "Given the following matrix multiplication, find all possible value(s) of the matrix B."

\(\displaystyle \begin{pmatrix}-1&-1\\ 3&3\end{pmatrix}\cdot \begin{pmatrix}B_{11}&B_{12}&B_{13}\\ B_{21}&B_{22}&B_{23}\end{pmatrix}=\begin{pmatrix}0&0&0\\ 0&0&0\end{pmatrix}\)

If the above is incorrect, please reply with any necessary corrections. In either case, how far did you get? What did you try? If you need a refresher course in the basic rules of matrix multiplication, try here.