Let A be a 2x3 matrix in R. By definition, would the standard basis of the matrix be the following?
[1 0 0] [0 1 0] [0 0 1] [0 0 0] [0 0 0] [0 0 0]
[0 0 0], [0 0 0] , [0 0 0] , [1 0 0] , [0 1 0] , [0 0 1]
Thanks.
Standard Basis of a n by m matrix in R
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linear-algebra
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0If you consider matrices as elements of a vector space, then yes. – 2017-01-20
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0Okay, just making sure I understand the question. Usually, I work with n by n matrices when finding standard basis – 2017-01-20
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0I am not too sure I understand your question. What do you mean by the standard basis of the matrix? Do you mean the standard basis for the vector space of $m\times n$ matrices? Or do you mean the representation of a matrix with respect to the standard basis? – 2017-01-20
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0Yes it would correct. – 2017-01-20