Purchase Solution

Linear Algebra : Subspace

Not what you're looking for?

Ask Custom Question

Let A be an nxn matrix. Verify that:

V = { x E R^n : Ax = 3x}

is a subspace of R^n.

Purchase this Solution
Solution Summary

The subspace is varied in an attached Word document showing all calculations.

Solution Preview

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

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

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

Probability Quiz

Some questions on probability

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.

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.

View More Free Quizzes
Related BrainMass Solutions

  • Linear Algebra

    166228 Linear Algebra Linear Algebra. Subspace... Please solve for parts (a) and (b). Please show each step of your solution. Thank you. Please see the attached file.

  • Subspace

    156637 Linear Algebra: Subspace If U how would you show U is a subspace? Also, how would you find a subspace V of such that U, V such that X = U + V? Please see the attached file for the fully formatted problems.

  • Linear Algebra : Span and Subspace

    175057 Linear Algebra : Span and Subspace (The material is from Basis and Dimension. Please explain each step of your solution for # 8, 9. Thank you.) Proposition 3.7: Let V in Rn be a k-dimensional subspace.

  • Linear Algebra - Inconsistent System and Projection

    This solution is comprised of a detailed explanation to answer Linear Algebra - Inconsistent System and Projection.

  • Linear algebra questions

    Linear algebra questions are demonstrated in this solution.

  • Basis, Zero Subspace and Invariant Suspaces

    154634 Basis, Zero Subspace and Invariant Subspaces This problem is from chapter 6 section 4 of Hoffman and Kunze's book Linear Algebra. Please see the attached file for the fully formatted problems.

  • Basis of a subspace

    175676 Linear Algebra: Orthogonality Please see attached file Please see the attachment. This shows how to find the basis of a given subspace.

  • Linear Algebra and Matrix Theory : Spanning Sets and Basis

    The set of all linear combination of the vectors is a subspace ( say ) of . The subspace is called the space spanned by the vectors . The set is called a spanning set of .

  • Linear Algebra : Four Fundamental Subspaces

    Fundamental subspaces are investigated for linear algebra is examined.

View More Related Solutions