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Solve the problem below You must solve each part completely and correctly and show all...

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Algebra

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Solve the problem below You must solve each part completely and correctly and show all your work to get the indicated points for that part Let T R R be the linear transformation given by T X1 X2 X3 x1 x2 X2 X3 X3 a Find the standard matrix of T 2 points b Show that this matrix is invertible and find its inverse 1 point c Explain why T is an invertible linear transformation and find the standard matrix of T 1 point d Find T x x2 X3 2 points

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