Let V = R²×2 be the vector space of 2 x 2 matrices and let L: V → V -12 - 4 2] 6 be defined by L(X) = spanning set for the image. -4 -2 a. Find L( b. Find a basis for ker(L): - 18 c. Find a basis for ran(L): 18 318 X. Hint: The image of a spanning set is a } }

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