Consider the plane in R^4 , calculate an orthonormal basis
[Orthogonal complement in dimension 4]. Consider the plane M in R^4 defined by the following equations:
(Image 1)
(a) Calculate an orthonormal basis (v1, v2) for M
(b) Calculate an orthonormal basis (W1, W2) for the orthogonal complement of M, N= M ⊥
(c) Prove that the family β = (V1, V2,W1,W2) is an orthonormal basis for R^4
Vienrods
28
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
Alessandro Iraci
1.7K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 614 views
- $8.00
Related Questions
- Linear Algebra - Matrices and Inverses Matrices
- Find $x$ so that $\begin{pmatrix} 1 & 0 & c \\ 0 & a & -b \\ -\frac{1}{a} & x & x^2 \end{pmatrix}$ is invertible
- Linear Algebra Question
- Sum of column spaces
- Frontal solver by Bruce Irons? Am I using the right Algorithm here?
- Conjugate / Transpose - Matrix
- Allocation of Price and Volume changes to a change in Rate
- Diagonalization of linear transformations
Do you need all the calculations or are you happy with the set of vectors (and the way to get them) and do the calculations yourself?
the set of vectors and how to get them is fine