Unformatted text preview: because the scores were fairly high on Q5; the scale will probably come down a little with Q6 and the ﬁnal. Of course, I will also include your HW and MHW later on. 1) Notice that (4 , 6) T = (1 , 2) T + (3 , 4) T (this made the problem fairly easy - otherwise you’d have to solve a linear system (or compute a transition matrix) to ﬁnd the right LC). So, L ((4 , 6) T ) = L ((1 , 2) T ) + L ((3 , 4) T ) = (16 , 36) T . 2) V U-1 = 1-1 2 1 1 1 1 3) Parts b) and c) are in the text/lectures, but part a) is easiest. B) Any example of L : V → W in which V (or W ) is inﬁnite-dimensional. In that case, the v ∈ V can’t be represented as column vectors. One example is d/dx : P → P . 1...
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- Spring '09
- Linear Algebra, Ker, Prof. S. Hudson