Q1. Decide which of the following functions are linear transformation? T hope for a clear solution (iv). T : R² → R³ defined as, T(x, y) = (/T, xy, /y). (v). T: M22 → M22 defined as, T(A) = A¯!.

Find the anwer to the given question: Determine if the following set of functions are whether linearly independent of linearly dependent.

Find y as a function of x if y′′′+49y′=0, y(0)=8,  y′(0)=49,  y′′(0)=98.

(s) Find the linearization of f at the given point. Then estimate the value of f. (a) f(x, y) = xy² at (2, 1). Estimate f(2.001, 1.05) y? f(x, y) = at (1,2). Estimate f(0.99, 1.99)