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Question: linear algebra question please show all work and answer all...

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Let T1 R3 → R4 and T2 R4 → R3 be given by: 74(x,y,z)) = 〈3x + 5y-z, 2x-y + 4z,x + z,y-29, and a. Explain why both compositions T2。T and T1。T2 are well defined·State the domain and the codomain of each. b. Use directly the definition of a composition to find (T。T2XX1,X2.X3sX4》. c. Use (b) to find [Ti。 d. Form [T2] and [T] and compute the matrix products [T2][T] and Verify that it equals to [T2。7 ]

Linear Algebra question. Please show all work and answer all parts. Thank you.

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