Question: -4 2 Let V = R2X2 be the vector space of 2 x 2 matrices and let L : V - V be defined by

-4 2 Let V = R2X2 be the vector space of 2 x 2 matrices and let L : V - V be defined by L(X) = 10 X. Hint: The image of a spanning set is a spanning set for the image. a. Find L( 3 = b. Find a basis for ker ( L): - c. Find a basis for ran( L)

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