3.5.21. Write the following positive definite quadratic forms as a sum of pure squares, as in (3.79): (a) 16x² + 25x², (b) x² - 2x₁x₂ + 4x²2, (c) 5x² + 4x₁x₂ + 3x², (d) 3x12x1x2 - 2x₁ x3 + 2x² +6x3, (e) x² + x₁x₂ + x² + x₂x3 + x², (f) 4x2x1x2 - 4x₁ x3 + 1/2x²2²-x₂x3 +6x², (g) 3x²+2x₁x₂+3x²+2x₂x3 +3x²+2x3 x4 + 3x².
3.5.21. Write the following positive definite quadratic forms as a sum of pure squares, as in (3.79): (a) 16x² + 25x², (b) x² - 2x₁x₂ + 4x²2, (c) 5x² + 4x₁x₂ + 3x², (d) 3x12x1x2 - 2x₁ x3 + 2x² +6x3, (e) x² + x₁x₂ + x² + x₂x3 + x², (f) 4x2x1x2 - 4x₁ x3 + 1/2x²2²-x₂x3 +6x², (g) 3x²+2x₁x₂+3x²+2x₂x3 +3x²+2x3 x4 + 3x².
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
You Must solve the whole question completely. Don't solve partially one or two questions. If u don't want to solve it completely, pls Skip it and let others solve it but don't solve partially. Otherwise I will dislike for sure. ??
Transcribed Image Text:2
3.5.21. Write the following positive definite quadratic forms as a sum of pure squares, as
in (3.79): (a) 16x1 + 25x2, (b) x − 2x₁x₂ + 4x²2, (c) 5x² + 4x₁x₂ + 3x²,
(d) 3x12x1x₂ - 2x₁ x3 + 2x² +6x²3, (e) x² + x₁x₂ + x² + x ₂ x3 + x²,
(f) 4x² - 2x₁x₂ - 4x₁ x3 + 1⁄2 x ² − X₂ X3 +6x²,
(g) 3x²+2x₁x₂+3x²+2x2x3
+3x² + 2x3 x4 + 3x².
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 7 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
