Can you help me understand matrix multiplication?
Linear Algebra
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Asked by Carol Davis
6 days ago
I'm taking linear algebra and I'm confused about matrix multiplication. When is it possible and how do I do it step by step?
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Prof. Michael Chen
(4.4)
6 days ago
The chain rule is used to find the derivative of composite functions. If you have f(g(x)), the derivative is f'(g(x)) × g'(x). Here's a step-by-step example with h(x) = (3x² + 1)⁵: 1) Identify outer function: f(u) = u⁵ where u = 3x² + 1 2) Find f'(u) = 5u⁴ 3) Identify inner function: g(x) = 3x² + 1 4) Find g'(x) = 6x 5) Apply chain rule: h'(x) = f'(g(x)) × g'(x) = 5(3x² + 1)⁴ × 6x = 30x(3x² + 1)⁴
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Carol Davis
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