
Vector coordinates, matrix elements and changes of basis
... V are usually represented by a single column of n real (or complex) numbers. A linear transformation (also called a linear operator) acting on V is a “machine” that acts on a vector and and produces another vector. Linear operators are represented by square n × n real (or complex) matrices.∗ If it i ...
... V are usually represented by a single column of n real (or complex) numbers. A linear transformation (also called a linear operator) acting on V is a “machine” that acts on a vector and and produces another vector. Linear operators are represented by square n × n real (or complex) matrices.∗ If it i ...