Purchase Solution

Orthogonal projection

Not what you're looking for?

Ask Custom Question

See attached file for full problem description with symbols and equations.

---
Definition 11.1 An orthogonal projection operator is a linear transformation such that and .

Question:

If W is a subspace of V, prove that P_w is an orthogonal projection.

(P_w is P sub w)

Attachments
Purchase this Solution

Solution Summary

This is a proof regarding linear transformations and orthogonal projections are provided. The subspace with projections are examined.

Solution Preview

Please see the attached file.

The orthogonal projection: satisfies: ,
Suppose is a subspace of , show that is also ...

Purchase this Solution


Free BrainMass Quizzes
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.

Graphs and Functions

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

Probability Quiz

Some questions on probability

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.