Lecture Notes (23)

# Direction and by a factor of 3 in the 1 2 direction

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Unformatted text preview: a factor of 2 in the 1 −1 . direction, and by a factor of 3 in the 1 −2 direction. Quiz 23 What is a geometric description of the mapping (14) x1 x2 L = 1 0 0 −1 x1 x2 ? Homework 23 Give a geometric description of the following mappings. Note that these are the same matrices as in Homework 22. 1. L x1 x2 = 11 6 −20 −11 2. L x1 x2 = −1 −6 1 4 3. This one is a little diﬀerent. L map to. x1 x2 x1 x2 x1 x2 = 0 1 −1 0 x1 x2 . Look at what 1 0 , 0 1 , and 1 1 4. The mappings in Problems 1 and 2, the eigenvectors are being mapped to scalar multiples of themselves (that’s what eigenvectors should be mapped to). So can the matrix in Problem 3 have eigenvectors? 5. Try ﬁnding the eigenvalues for the matrix in Problem 3. Answers in next page. MA 3280 Lecture 23 - More on Eigenvectors Quiz: We’re holding the 1 0 3 direction ﬁxed (not stretching), and reve...
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## This document was uploaded on 04/03/2014.

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