Asked by Sora
Find a non-zero matrix such that
⎡ -2 5 ⎤ ⎡ ❏ ❏ ⎤ ⎡ 0 0 ⎤
⎥ ⎥ ⎥ ⎥ = ⎥ ⎥
⎣ 4 -10 ⎦ ⎣ ❏ ❏ ⎦ ⎣ 0 0 ⎦
(Fill in the 4 blanks)
⎡ -2 5 ⎤ ⎡ ❏ ❏ ⎤ ⎡ 0 0 ⎤
⎥ ⎥ ⎥ ⎥ = ⎥ ⎥
⎣ 4 -10 ⎦ ⎣ ❏ ❏ ⎦ ⎣ 0 0 ⎦
(Fill in the 4 blanks)
Answers
Answered by
oobleck
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)
If B =
(a b)
(c d)
than AB=0 if
2a=5c. So let
B =
(5 5)
(2 2)
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