Purchase Solution

Vectors and Linear Algebra : Basis, Column Space and Rank

Not what you're looking for?

Ask Custom Question

2 1 -1 3 4
1 0 -1 2 0
A= 1 1 0 1 4
4 2 -2 6 8

Find the basis for the row space, column space of A; What is the rank of A?

Purchase this Solution

Solution Summary

Basis, column space and rank are found for a matrix.

Solution Preview

Well, the matrix is:

The number of pivot columns in the rref(A) shows the number of linearly independent columns and if we pick the corresponding columns, they will form a basis for the column space of the given matrix. Therefore, we must find rref(A) using elementary row/column operations and we get:

Well, only the first and second columns are the ...

Purchase this Solution


Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.