Determine a basis for the orthogonal complement of S:= {A,B} as defined in the image below. Consider the vector space V=Let A =10[]20 2(Ba11a21=a12a22123M2 under the weighted inner product91)[b11 b12b21 622=4a11b11 + a12b12 + 3a21b21 + 2a22b22.%]€ M₂. Using the above inner product, determine the following:

Answered: Image /qna-images/answer/1c648b14-1311-43c2-bf2e-8a2d76b5ce7a.jpg

Answered: 0 J √2 ( 2 9-3 [ B = = √√3 2 [a11 a12]…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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0 J √2 ( 2 9-3 [ B = = √√3 2 [a11 a12] [11 b12] {]) a22 621 622 a21 = 4a11b₁1 + = € M₂. Using the abov