Linear

How to display m x n mapping

How to display m x n mapping
  1. How do you show that a function is a linear map?
  2. What is Mxn matrix?
  3. How do you find the rank of a transformation?

How do you show that a function is a linear map?

It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation.

What is Mxn matrix?

An m x n matrix is an ordered rectangular array of elements containing m rows and n columns. Each matrix element is given two indices, the first identifying the row and the second identifying the column: A square matrix is one in which the number of rows equals the number of columns.

How do you find the rank of a transformation?

The rank of a linear transformation L is the dimension of its image, written rankL=dimL(V)=dimranL.

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