Which angle of rotation is determined by the matrix given? the 2 by 2 matrix, row 1, column 1, negative the fraction with numerator square root of 2 and denominator 2 column 2, the fraction with numerator square root of 2 and denominator 2 row 2, column 1, negative the fraction with numerator square root of 2 and denominator 2 column 2, negative the fraction with numerator square root of 2 and denominator 2
A rotation matrix has the form [[cos θ, −sin θ], [sin θ, cos θ]]. Here cos θ = −√2/2 and sin θ = −√2/2, which places θ in the third quadrant at 225°. The matrix therefore determines a rotation of 225 degrees.
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