Let V = R²x2 be the vector space of 2 x 2 matrices and let L: V → V be defined by L(X) = 15 - || = ¹([53³]) -5 -3 b. Find a basis for ker(L): a. Find L( c. Find a basis for ran(L): } } X. Hint: The image of a spanning set is a spanning set for the im 5

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