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(a) Let S : R2 R2 be a stretch by a factor of 6 in the x2 direction. Find the matrix for S. (b) Let R : R2 R2 be a rotation through = /3. Find the...

(a) Let S : R2 → R2 be a stretch by a factor of 6 in the x2 direction. Find the matrix for S. (b) Let R : R2 → R2 be a rotation through θ = π/3. Find the matrixfor R. (c) Find a matrix for the composition S ◦R.

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