Let L: R4 R3 be defined by L([u1 u2 u3 u4]) = [u1 u2+u3 u3+ u4] Let
Question:
L([u1 u2 u3 u4]) = [u1 u2+u3 u3+ u4]
Let S and T be the natural bases for R4 and R3, respectively. Let
And
(a) Find the representation of L with respect to S and T.
(b) Find the representation of L with respect to S' and T'
(c) Find L ([2 1 -1 3]) by using the matrices obtained in parts (a) and (b) and compare this answer with that obtained from the definition for L.
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Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
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