Solved: Let L : ~ -+ R3 be the linear trnnsfonnation defined by L([1I1 112 113 114]) =

Chapter 6, Problem 5

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Let L : ~ -+ R3 be the linear trnnsfonnation defined by L([1I1 112 113 114]) = [III + II ! II j + 114 "I + 11 3 ]' (a) Find a basis for ker L. (b ) Whm is dim ker L? (el Find a basis for range L. (d ) Whal is dim range L

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