Thanks
2007-01-06 10:37:37 · 3 answers · asked by girl_pink 1 in Science & Mathematics ➔ Mathematics
Not necessarily.
Let A =
[ 1 -1]
[-1 1]
B =
[1 -1]
[1 -1]
AB =
[ 1 -1] [1 -1]
[-1 1] [1 -1]
=
[0 0]
[0 0]
As you can see, neither A nor B are the zero matrix, yet multiplied together, they give you 0.
Did you possibly make an error when asking your question? That is, did you mean to say "A = 0 OR B = 0"? Your question just seems much easier being an AND than an OR (since, with real numbers, it works that if ab = 0, then a = 0 or b = 0).
2007-01-06 10:50:56 · answer #1 · answered by Puggy 7 · 2⤊ 0⤋
No not true. A OR B can equal 0, and the one that doesn't equal 0 can be an number at all... Because 0 x anything = 0.
2007-01-06 10:46:38 · answer #2 · answered by flycreature 2 · 0⤊ 1⤋
No. Only one of the variables has to equal zero. The other can be an infinite number
2007-01-06 10:40:51 · answer #3 · answered by mr_choyce87 2 · 0⤊ 1⤋