Let L : R4 → R6 be a linear transformation. (a) If dim ker L = 2, what is dim range L? (b) If dim range L = 3, what is dim ker L?

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Let L : R4 → R6 be a linear transformation.
(a) If dim ker L = 2, what is dim range L?
(b) If dim range L = 3, what is dim ker L?

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