Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. DA. T(A) = 8A from R5x4 to R5×4 OB. T(A) = trace(A) from R®x® to R Oc. T(A) = AT from R3x4 to R4x3 D. T(A) = SAS 1 from IR2X2 to R²x2, where S = DE. T(A) = A7 from R5×5 to IR5×5 OF. T(A) = A+Iz from R3x3 to R3x3

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A: We need to find the composition of transformation.

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A: SOLUTION-

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A: Use definition of linear transformations and two step test of linear transformations.

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A: we will rank nullity theorem

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A: Please see the explanation below

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A: (A) TA=SAS-1TA+B=SA+BS-1               =SA+SBS-1               =SAS-1+SBS-1…

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