2. Let A € Rnxn. (A is square matrix or order n with real entries). Define f: RR by f(x) = x¹ Ax, x € Rr. Show that f is differentiable and find Df(x), for any z € R¹. I

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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2. Let A € Rnxn. (A is square matrix or order n with real entries). Define
f: RR by f(x) = x¹ Ax, x € Rr. Show that f is differentiable
and find Df(x), for any z € R¹.
I
Transcribed Image Text:2. Let A € Rnxn. (A is square matrix or order n with real entries). Define f: RR by f(x) = x¹ Ax, x € Rr. Show that f is differentiable and find Df(x), for any z € R¹. I
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