## Question

###### Problem 4 Let f : V _ V be a linear transformation on a vector space V with dimension n. Prove that for any scalar a â‚¬ F, det(af) = a" det(f).

Problem 4 Let f : V _ V be a linear transformation on a vector space V with dimension n. Prove that for any scalar a â‚¬ F, det(af) = a" det(f).

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