A particular introduction to matrices involved viewing them as an array/list of vectors (column vectors) in R(adsbygoogle = window.adsbygoogle || []).push({}); ^{n}. The problem I see in this is that it is sort of like saying that a row of a matrix is a vector along the same degree of freedom (elements of the same row are elements of different vectors all in the same dimension). So from this, technically, the scalar product of a column vector v and row1 of a matrix A should only exist as a product between the elements of row1 of the matrix A and row1 of the column vector v...which doesn't seem right (since matrix-vector multiplication Av is defined as a column vector of dot products between the vector v and rows of A). How would one geometrically interpret a matrix?

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# Row of a matrix is a vector along the same degree of freedom

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