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Matrix Differentiated (Posted on 2019-05-24) Difficulty: 3 of 5
Let A and B be two n×n matrices with real entries. Define the function f : R → R by f(x) = det(A + Bx)

(i) Show that f(3)(x) = 3! det B.
(ii) Show that in general f(n)(x) = n! det B.

f(n)(x) is the nth derivative of f(x).

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
Solution, part iiFrankM2019-05-27 13:35:53
Remark on: clarifcationFrankM2019-05-27 13:13:28
clarifcationDaniel2019-05-24 14:09:25
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