Question: Linear Algebra Note: By direct method a) In the vector space R3, let a: : (1,2,1), : (3,1,5),y : (3,4,7). Show that the subspace spaned

Linear Algebra

Note: By direct method

a) In the vector space R3, let a: : (1,2,1), : (3,1,5),y : (3,4,7). Show that the subspace spaned by S = {1:143} and T = {11, 16', y} are the same. b) Consider the basis 5 = {a1,az,a3] of R3= where (:1 = (1,1,1),u:r2 = (1,1,0) and {r3 = (1,0,0). Express (2, 3,5) in terms of the basis elements :11, a2 and a3

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