Find the derivative matrix for the functions at the given points. Then find f o k; (s0,t0)=(1,1). a) k(s,t)= (1,2,3)+s(4,5,6)+t(7,8,9) ; (s0,t0)=(1,1) b) f(x,y) = (x+2y+3, 4x+5y+6) ; X0= (0,0)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
Question

Find the derivative matrix for the functions at the given points. Then find

f o k; (s0,t0)=(1,1).

a) k(s,t)= (1,2,3)+s(4,5,6)+t(7,8,9) ; (s0,t0)=(1,1)

b) f(x,y) = (x+2y+3, 4x+5y+6) ; X0= (0,0)

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