CHAPTER 4

Vector Spaces and Linear Applications. Equations and Systems

4.1 Matrix Algebra and Vector Spaces

Matrix algebra has a strong field of application in the theory of vector spaces, particularly in the study of types of linear transformations between vector spaces, linear forms, bilinear forms, quadratic forms, etc. It is also plays a critical role in the study of systems of linear equations.

The following MATLAB commands are useful when working in the above mentioned fields:

**nullspace (A) returns a basis for the kernel of***A.***N = null (A) generates an orthonormal basis for the kernel of***A***. The number of columns of***N***is the dimension of the ...**

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