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Find the standard matrix for the linear transformation f(a, b, c, d)=(b-c+d, 2b-3d). Find the standard...

Find the standard matrix for the linear transformation f(a, b, c, d)=(b-c+d, 2b-3d).

Find the standard matrix for the linear transformation that flips the xy plane over the y axis and rotates it by π/4 radians CCW.

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