Purchase Solution

Linear Algebra: Basis of a Subspace

Not what you're looking for?

Ask Custom Question

Please see the attached file for the fully formatted problem.

Find the basis of a subspace, which is intersection of U and V, where U and V are the span of....

Purchase this Solution

Solution Summary

The basis of a subspace is found. The basis of a subspace is examined. The intersection of U and V are given.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Problem 1:
U = {[1 -2 0 0], [0 1 0 -1]}
V = {[1 0 0 0], [0 1 0 0], [0 0 1 0]}
Span {U} = {r (1,-2, 0, 0) + s (0, 1, 0,-1) such that r, s in R
Span {V} = {r'(1,0,0,0) + s'(0,1,0,0) +t'(0,0,1,0) such that r',s',t' inR}
(x, y, z) is an element of the intersection if and only if
There is an r, s, r', s', t' such that
(x, y, z) = r (1,-2,0,0) + s (0,1,0,-1)= r'(1,0,0,0) + s'(0,1,0,0) ...

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.

Solving quadratic inequalities

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

Multiplying Complex Numbers

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

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.

Exponential Expressions

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