Find the matrix of the quadratic form. Assume x is in R³. 2x+3x2-9x²3 - 10x₁x2 + 18x₁×3 - 12×2×3 a.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
icon
Related questions
Question
Find the matrix of the quadratic form. Assume x is in R³.
a.
2x² + 3x²2 - 9x²3 - 10x₁x×2 + 18x₁×3 − 12×2×3
b. 2x1x2 + 12x₁X3 - 18x2x3
a. The matrix of the quadratic form 2x² + 3x2 -9x3 - 10x₁x2 + 18x₁ x3 - 12x₂x3 is
(Simplify your answer.)
Part 1 of 2
Transcribed Image Text:Find the matrix of the quadratic form. Assume x is in R³. a. 2x² + 3x²2 - 9x²3 - 10x₁x×2 + 18x₁×3 − 12×2×3 b. 2x1x2 + 12x₁X3 - 18x2x3 a. The matrix of the quadratic form 2x² + 3x2 -9x3 - 10x₁x2 + 18x₁ x3 - 12x₂x3 is (Simplify your answer.) Part 1 of 2
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College