The temperature of a hot cup of coffee can be modeled by the DET'(t) = k(T(t) A).a. What is the significance of the constants k and AI b. Solve the DE for T(t), in terms of k, Ay and the initial temperature 7o.

M303 Section 2.1 Notes- Matrix Operations 10-5-16 Recall if is × matrix, ientry denoted as = Diagonal entries of - subscripts are sam11 ie22 ,…, Diagonal matrix- if is square × matrix, its off-diagonal entries e 0s; only nonzero o Ex. Any identity matrix 1 0 0 0 o Ex.[0 2 0 0 ] still diagonal; diagonal entries can be anything 0 0 0 0 0 0 0 1 Zero matrix- any size, all entries 0; denoted 0 Add/scalar multiply matrices