a) Calculate the matrix associated to T: R²* → R² given as T r(ab) = (a - d,b - c) with respect to the bases: C B = {2.6 DG 2.69 9)} B' = {(1,2), (3, -1} of R2x2 and R² respectively

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A: Given: Let c1(t)=e5ti+7sintj+t4k and c2(t)=e-5ti+5cos(t)j-7t4k. To Find:      ddt[c1(t)+c2(t)]

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A: The change of basis matrix is given as follows :

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A: Since you are asking multiple questions. We are answering only the first question as per our…

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A: Given T1:ℝ2→ℝ2 by T1(x, y)=(x-2y, 2x+3y), T2:ℝ2→ℝ2, T2(x, y)=(0, x)   To Find: The standard matrices…

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A: Note: According to our guidelines we can answer only first three subparts

Q: Find the standard matrices A and A' for T = T₂ o T₁ and T' = T10 T₂. T₁: R² R², T₁(x, y) = (x − 3y,…

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Q: be the bases in  R³ T={,,},     S={,,} determine the matrix of transicion of T to S

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Q: Let B = {(1,0,0), (1,1,0), (1,1,1)}, B' = {(0,0,1), (0,1,1), (1,1,1)} and [x]; : = +2]. -3 %3D Find…

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Q: Let T: R² → R² be defined by T = {[5].[a]} C= Given Pc 1 -2 = [223] -2 5 [T](PB (u)) = Ex: 5 ([2/2])…

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