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Q#1 Linear Algebra GATE EE 2023 MCQ +1 mark -0.33 marks

In the figure, the vectors  and  are related as:  by a transformation matrix A. The correct choice of  is

Explanation:

is CW rotation of  by 36.86°

For rotation of a vector by an angle θ in anti-CW direction matrix used.

When vector is to be rotated CW, we use negative value of θ.

θ = -36.86°, cos θ = 0.8, sin θ = -0.6

matrix

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