Question: For each real number θ let tθ: R2 R2 be represented with respect to the standard bases by this matrix. Show that tθ1+θ2 = tθ1

For each real number θ let tθ: R2 †’ R2 be represented with respect to the standard bases by this matrix.
For each real number θ let tθ: R2 †’ R2

Show that tθ1+θ2 = tθ1 ˆ™ tθ2. Show also that tθ-1 = t-θ.

cos sin -sin cos

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