Purchase Solution

# Orthogonal projection

Not what you're looking for?

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)

##### Solution Summary

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

##### Solution Preview

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

##### Free BrainMass Quizzes

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.