Question

Find a non-zero matrix such that

⎡ -2 5 ⎤ ⎡ ❏ ❏ ⎤ ⎡ 0 0 ⎤
⎥ ⎥ ⎥ ⎥ = ⎥ ⎥
⎣ 4 -10 ⎦ ⎣ ❏ ❏ ⎦ ⎣ 0 0 ⎦


(Fill in the 4 blanks)

Answer 1

You want AB=C where C is the zero matrix
If B =
(a b)
(c d)
than AB=0 if
2a=5c. So let
B =
(5 5)
(2 2)