Maths Matrices Doubt also related to determinants
I got it B is not equal to null matrix but how is matrix A not equal to null matrix ?
A mean (M+N^2) and B means (M-N^2)
11 Replies
@Apu
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it means M+N^2
M and N are two matrices
Two determinants, P and Q can multiply to null matrix with both being non-zero (With both being singular)
? I don't think so? At least one needs to be singular
Sorry, I didn't get you
Wait a min I gotta rephrase this. Sounds kind of...offending.
Consider AB=0 where both A and B are non-zero and A is non singular. Now premultiply by A inverse both sides and we get B=0 which is a contradiction. For both to be non-zero, both must be singular.
(Similar contradiction if B is non-singular)
Ok, I see that. But your original point is still wrong I think. They can't both be non-singular because then you can multiply by the inverses and get both to be null?
This
Oh right. I meant to write 'singular', sorry
+solved @Opt @SirLancelotDuLac
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