Question: Let T : R4 > R4 be a linear transformation with A as the standard matrix, and B = {u1,u2,u3,u4} be a basis for R4

Let T : R4 > R4 be a linear transformation with A as the standard matrix, and B = {u1,u2,u3,u4} be a basis for R4 such that T(u1) = 1&2, T('u2) = 11-1, T(u3) = 1&3, T(u4) = m + 1&2. Let S : R4 > R4 be a linear transformation dened as follow: For every 1) E R4, write '0 = (v1, v2, v3,v4). Then 8(1)) = mm + '0qu + 12311.3 + v4u4. Compute T 0 3(1)) in terms of 11,1, 11,2, u;;,u4

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