Find a basis of the subspace of R' defined by the equation 7x1+ 9x2+ 6x3+ 5x4 = 0.{}Basis:

Answered: Image /qna-images/answer/2fc7b097-5de0-4411-baf7-29acd43123b0.jpg

Answered: Find a basis of the subspace ofRª…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

See similar textbooks

Similar questions

Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
Find a basis for the subspace given by the plane −3x + 2 y + 5z = 0.
Find a basis for the subspace spanned by the given vectors. What is the dimension of the subspace?
Find an orthonormal basis of the subspace spanned by the vectors in Exercise 3.
Find the orthogonal projection of v onto the subspace W spanned by the vectors ui
Find an orthogonal projection of (6, 0, 0) (1) along the vector (1, 2, 1)(2) On the plane determined by (1, 2, 1) and (1, −1, 1)(3) On the subspace spanned by (1, 2, 1), (1, −1, 1) and (3, 0, −3)
find an orthonormal basis of the space spanned by the vectors u1= <3, -4, 5> and u2= <-3, 14, -7>
Consider the subspace of the Euclidean inner product space spanned by the vectors Find an orthonormal basis of
A basis for the subspace is given by ?
determine whether the first vector is in the subspace of R3 generated by the other vectors.1) (1, 4, -3); (1, 0, 1), (1, 1, 0), (3, 1, 2)2) (1, 1, 2); (0, 1, 0), (3, 5, 6), (1, 2, 1)
The set of all nxn matrices having trace equal to zero. is a subspace W of Mnxn(F). Find a basis for W. What is the dimension of W?
Show that the solution vectors of a consistent non-homogeneous system of m equations in n unknowns do not form a subspace of Rn

SEE MORE QUESTIONS

Recommended textbooks for you

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Find a basis of the subspace ofRª defined by the equation 7x1+9x2+ 6x3 + 5x4 = 0. Basis: