Exercise 20. Let F be an Archimedean ordered field. Show that k+1 1 == . lim k→∞o 3k 3

Need a,b,c,d

Suppose L: R2 R2 is defined by L →→ ordered bases. [L(u)]B₁ = [L(u)]B₂³ = · 4 [X₂] - [×₂ -³x, ] · Let B, = {[§ ]· [²]} and B₂ = {[2]· [4]} = X2 1 be ordered bases for R². If u = [₁2], find [L(u)]g, and [L(u)]g,, the coordinate vectors of L with respect to each of the given 12

Let T: R³ R2 be a linear mapping. → 10 *([:]) = [ ] ¹ ({]) - [ ] -~-~(:)) - [²7] ([]) - T = and T find T (ED). Given that T sin (a) Ər f α Ω E