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TomLikesPhysics
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I have 4 different vectors with 5 components. What is the fastest way to determine if these vectors form a linearly independent base in 5dim space?
 2 years ago
 2 years ago
TomLikesPhysics Group Title
I have 4 different vectors with 5 components. What is the fastest way to determine if these vectors form a linearly independent base in 5dim space?
 2 years ago
 2 years ago

This Question is Closed

myko Group TitleBest ResponseYou've already chosen the best response.1
4 vectors can't form a base in 5dim space. You need at least 5 vectors
 2 years ago

TomLikesPhysics Group TitleBest ResponseYou've already chosen the best response.0
Of course... Well, how do I check if 5 vectors with 5 components form a linearly independet base? Let´s say it is not obvious and there is not a vector who looks like a multiple of another vector.
 2 years ago

myko Group TitleBest ResponseYou've already chosen the best response.1
check determinant of matrix formed by this vectors. If it's equals 0 vectors are dependent. If not  independent.
 2 years ago

TomLikesPhysics Group TitleBest ResponseYou've already chosen the best response.0
Oh, I did not know that I can use a determinant with vectors which are in a higher dim. than 3. Thx for your help myko!
 2 years ago

myko Group TitleBest ResponseYou've already chosen the best response.1
you can do it in any dimention. The only thing you need is the matrix to be square
 2 years ago
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