2 -4 -24 -4 -1 0 4 4 A matrix A=-6 -6 1 28 22 reduces to 0 142 -1 0 04 4 0004 Find a basis for Nul A:

Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of B and the column vectors of AB are in the column space of A.

Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.

11. Find two nonzero matrices and such that.