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Orient the line L = span { (2, 2, 1) } by the vector (2, 2, 1). Let R: R3 - R3 be the rotation

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Orient the line L = span { (2, 2, 1) } by the vector (2, 2, 1). Let R: R3 - R3 be the rotation of R about L according to the RHR through the angle 0 = ". Further, let S: R3 - R3 be the shear transformation parallel to the ry-plane which shears the vector v = (0, 0,3) into the vector (1, 1, 3) . (a) Find the matrix which represents R with respect to standard coordinates. (b) Find the matrix B = [S] which represents S with respect to standard coordinates. (c) Find the matrix which represents the linear transformation 7: R3 - R3, where T first executes S and then R. (d) Is T from part (c) the same as the transformation which first executes R and then S

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