The row space and the column space of a matrix have the same dimension.

math.la.t.mat.row_space.col_space


Once the dimension of a vector space is known, then the determination of whether or not a set of vectors is linearly independent, or if it spans the vector space, can often be much easier. In this section we will state a workhorse theorem and then apply it to the column space and row space of a matrix. It will also help us describe a super-basis for \(\complex{m}\text{.}\)

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GFDL-1.2
Submitted At
September 11th, 2017
 5 years ago
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 Textbook
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 English
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