Let L : V __ IV be an isomorphism of vector space V onto \'ector space IV. (a) Prove

Chapter 4, Problem 29

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Let L : V __ IV be an isomorphism of vector space V onto \'ector space IV. (a) Prove lhat L(O ... ) = Ow. (b) Show that L(l ' - \1') = L(l ') - L(w). (e) Show that L (tl ,VI + tI, " , + ... + tI,I V,I) = til L (v ,) + o;L( v:) + ... + til L (v,l).

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