If A = [[cos²θ, cosθ sinθ], [cosθ sinθ, sin²θ]] and B = [[sin²θ, −cosθ sinθ], [−cosθ sinθ, cos²θ]], then A + B is equal to: A. [[1, 0], [0, 1]] B. [[0, 0], [0, 0]] C. [[cos²θ, 0], [0, sin²θ]] D. [[1, 1], [1, 1]] Answer: A) [[1, 0], [0, 1]] Explanation: A + B = [[cos²θ+sin²θ, cosθ sinθ−cosθ sinθ], [cosθ sinθ−cosθ sinθ, sin²θ+cos²θ]] = [[1, 0], [0, 1]].

imo class 12 matrices

If A = [[cos²θ, cosθ sinθ], [cosθ sinθ, sin²θ]] and B = [[sin²θ, −cosθ sinθ], [−cosθ sinθ, cos²θ]], then A + B is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [[cos²θ, cosθ sinθ], [cosθ sinθ, sin²θ]] and B = [[sin²θ, −cosθ sinθ], [−cosθ sinθ, cos²θ]], then A + B is equal to:

Answer: A) [[1, 0], [0, 1]]

Explanation: A + B = [[cos²θ+sin²θ, cosθ sinθ−cosθ sinθ], [cosθ sinθ−cosθ sinθ, sin²θ+cos²θ]] = [[1, 0], [0, 1]].