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
Graphs and Functions

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

Multiplying Complex Numbers

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

Solving quadratic inequalities

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

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.