Exercise 1.5.2. Compute the following 1. Find the derivative of sin(tA) as a function of t. A 2. For the formula f([244]
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Exercise 1.5.2. Compute the following 1. Find the derivative of sin(tA) as a function of t. A 2. For the formula f([244]
Exercise 1.5.2. Compute the following 1. Find the derivative of sin(tA) as a function of t. A 2. For the formula f([244]) = [ƒ(24) what is the block matrix B in terms of f and A? B f(2A) 7 (You may assume that f equals to its Taylor expansion. Maybe try polynomials first to get some clue.) 3. Prove or find counter example: The derivative to f(A+tB) as a differentiable function of t at t = 0 is f'(A) B.
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