Introduction Introduction In the context of linear system solution,the error in the solution constitutes a vector. r=b-A×X. If we do not want to pay attention to individual components of the error,perhaps because there are too many components, then we can combine all errors into a single number. This is akin to a grade point average which combines all grades into a single number. 命电有这女 Matrix Theory Vector Norms -3/39Introduction Introduction In the context of linear system solution, the error in the solution constitutes a vector. r = b − A × x. ▸ If we do not want to pay attention to individual components of the error, perhaps because there are too many components, then we can combine all errors into a single number. ▸ This is akin to a grade point average which combines all grades into a single number. ▸ Mathematically, this “combining” is accomplished by norms. Matrix Theory Vector Norms - 3/39