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4. a. Use Gaussian elimination to show that * {(0, 2, 4), (1, 2, 3), (5,2,0)} and Y = {(1,2,3), (0, 1,4), (5,6,0)} are bases for R3 (3 pts each). b. Let 3 = {(1,0,0), (0,1,0), (0,0,1)}. Use the matrix inversion algorithm to compute (idr3 ]x3 and [idR3]y3 (3 pts each). c. Compute (idR3]xy (2 pts). d. Write each of [idR3]3x and (idR3]x3 as a product of elementary matrices (3 pts each). 4. a. Use Gaussian elimination to show that * {(0, 2, 4), (1, 2, 3), (5,2,0)} and Y = {(1,2,3), (0, 1,4), (5,6,0)} are bases for R3 (3 pts each). b. Let 3 = {(1,0,0), (0,1,0), (0,0,1)}. Use the matrix inversion algorithm to compute (idr3 ]x3 and [idR3]y3 (3 pts each). c. Compute (idR3]xy (2 pts). d. Write each of [idR3]3x and (idR3]x3 as a product of elementary matrices (3 pts each)