The linear transformation T: R R defined by T(x, y, z, s) = (y 2x...

 

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The linear transformation T: R¹ R³ defined by T(x, y, z, s) = (y − 2x + z +2s, y − 2x + z, 2y - 4x + 2z+ 2s) Give a basis for the image and kernel of T. Basis of Im(T) is {} Basis of Ker(T) is {} Enter your answers as comma separated lists of vectors, for example (1,2,3), (4,5,6) The linear transformation T: R¹ R³ defined by T(x, y, z, s) = (y − 2x + z +2s, y − 2x + z, 2y - 4x + 2z+ 2s) Give a basis for the image and kernel of T. Basis of Im(T) is {} Basis of Ker(T) is {} Enter your answers as comma separated lists of vectors, for example (1,2,3), (4,5,6)

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To find the basis for the image and kernel of the linear transformation T R1 R3 we need to analyze t... View the full answer