Its a conceptual doubt: I was told that matrices can be interpreted in many ways (?) One such being thinking of it as a vevtor

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I understand that a column matrix of order n×1 is taken as a vector with each element representing the x coordinate (x
) y coordinate(y
) z coordinate(z
) ... n coordinate (n × unit vector in nth dimension) of that vector.

I also understand that a matrix of order m×n , each column represents the linearly transformed vector of unit vectors leading up to the nth dimension.

It is a conceptual doubt : I was told that matrices can be interpreted in many ways once such being vectorially
I understand that a column matrix of order n×1 is taken as a vector with each element representing the x coordinate (x ## \hat i##
) y coordinate(y ##\hat j## ) z coordinate (z ## \ hat k ##)
) ... n coordinate (n × unit vector in nth dimension) of that vector.

I also understand that a matrix of order m×n , each column represents the linearly transformed vector of unit vectors leading up to the nth dimension.