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Problem 2. Suppose A E R"×n. Show that, for all x E R" xT Ax = x Agx, where A, is the symmetric part of A. Hint: Start by substituting A = A, + Aq.

Problem 2. Suppose A E R"×n. Show that, for all x E R" xT Ax = x Agx, where A, is the symmetric part of A. Hint: Start by substituting A = A, + Aq.

Advanced Engineering Mathematics
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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Problem 2. Suppose A E R"×n. Show that, for all x E R" xT Ax = x Agx, where A, is the symmetric part of A. Hint: Start by substituting A = A, + Aq.
Transcribed Image Text:Problem 2. Suppose A E R"×n. Show that, for all x E R" xT Ax = x Agx, where A, is the symmetric part of A. Hint: Start by substituting A = A, + Aq.
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