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5 Matrix/Vector Calculus and Norms 1. Consider a 22 matrix A, written in full A11 A12 A21 A22 , and two arbitrary 2-dimensional vectors x,

5 Matrix/Vector Calculus and Norms 1. Consider a 22 matrix A, written in full A11 A12 A21 A22 , and two arbitrary 2-dimensional vectors x, y. Calculate the derivative of sin A 2 11 e A11 A22 x Ay, with respect to the matrix A. Hint: The dimension of the derivative should match that of A and use the chain rule

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