Category: linear algebra

There are mainly three ways to find the standard matrix of a linear transformation: directly , using properties of linear transformation and using inverse matrix. We illustrated here how to use those tricks to find the standard matrix of a linear transformation.

There are many ways to determine if a vector set is linearly dependent or independent. The most efficient way is to use the matrix rank. If the rank of the matrix which constructed by using the vectors as its columns equals to the number of the vectors, the set is linearly independent. Otherwise it is…