For this question you may use (without proof) any online calculator to find the eigenvalues/eigenvectors of a matrix. If you do use an online calculator, you should say which one you used, and where in your solution you used it. Question 2. Consider the homogenous polynomial x²+10x1×2 + x². (1) Find a suitable substitution s = ax₁ + bx2 and t = cx1+ dx2 so that for some a, ẞER. x²+10x1×2 + x = as² + ẞt²

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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Please answer this linear algebra question and show all steps.

For this question you may use (without proof) any online calculator to find the eigenvalues/eigenvectors of a
matrix. If you do use an online calculator, you should say which one you used, and where in your solution you
used it.
Question 2. Consider the homogenous polynomial x²+10x1×2 + x².
(1) Find a suitable substitution s = ax₁ + bx2 and t = cx1+ dx2 so that
for some a, ẞER.
x²+10x1×2 + x = as² + ẞt²
Transcribed Image Text:For this question you may use (without proof) any online calculator to find the eigenvalues/eigenvectors of a matrix. If you do use an online calculator, you should say which one you used, and where in your solution you used it. Question 2. Consider the homogenous polynomial x²+10x1×2 + x². (1) Find a suitable substitution s = ax₁ + bx2 and t = cx1+ dx2 so that for some a, ẞER. x²+10x1×2 + x = as² + ẞt²
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