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# So kert1 0 and so t1 is one to one a2b since t1

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Unformatted text preview: . A2.(b). Since T1 : R3 ! R3 it is a linear operator. A one-to-one linear operator is automatically onto. (See Theorem 6.3.15 in the text, parts (k) and (l).) A2.(c). Since T is a one-to-one linear operator, it is invertible. The matrix representing T1 is 2 3 1 11 1 25 , [ T1 ] = 4 2 021 and the matrix representing T1 C EDRIC C HAUVE , FALL 2013 1 is the inverse of this. We can ﬁnd the inverse by row reducing 2 3 1 11100 42 1 2 0 1 05 . 0 2 1001 1 MATH 895-4 Fall 2010 Course Schedule f a cu lty of sc ie nce d ep ar tment of mathem atics Week Date Sections 1 Sept 7 I.1, I.2, I.3 2 14 I.4, I.5, I.6 3 21 II.1, II.2, II.3 4 28 Part/ References II.4, II.5, II.6 from...
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