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Linear Transformation (Nov.14 Update (supposed to be on linear…
Linear Transformation (Nov.14 Update (supposed to be on linear combination), in fact it works the same way a function does (i.e. input and output), basis vectors , can be view as a linear combination of vectors:explode: (wait, so does this mean when multiply a matrix by a vector
(i.e. linear transform a vector), each coefficient is one of the variable from the vector and so this way it's a combination of three vectors? whatttttttt:!?:, rotates a vector? (e.g. reflects a vector on a certain axis ), det = 0 means not invertible (intertibility rules says if some matrix is invertible then it also satisfies other conditions (such as having a solution to every column b, has only trivial solution to Ax=0), Do transformation (Sec 2.2 function),
matrix transformation(sec2.2?), and
linear transformation(Sec 2.6) essentially mean the same thing? , if a Transformation is onto, then that means???? :!?: :explode:)