A. Algebra 1 - Linear Algebra (2)
Please read sections 8.1 8.3, 10.1 and 10.2 (mainly for revision), as well as 10.3
and 11.3 from Kaye and Wilsons Linear Algebra.
1. Suppose U is a subspace of V invariant under a linear transformation T :
V V . Prove tha
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A. Algebra 1 - Linear Algebra (8)
If you solved all the problems on the previous seven problem sheets, you (and your
tutors!) worked hard and deserve a break.
Happy New Year!
However, in case you nd it relaxing and interesting, I have included a couple of
A. Algebra 1 - Linear Algebra (6)
Please read sections 5.1 - 5.4 from Kaye and Wilsons Linear Algebra.
1. (Kaye & Wilson, Exercise 5.1(c) Use the Gram-Schmidt process to obtain
an orthogonal basis for V , the vector space of polynomials of degree less or