Question

Find the standard matrix A associated to each of these linear transformations

T: R² --> R²

a) T₁(x,y) = (-x,y)

b) T₂(x,y) = (x,-y)

c) T₃(x,y) = (y,x)

d) T₄(x,y) = (kx,y)

e) T₅(x,y) = (x,ky)

f) T₆(x,y) = (x+ky,y)

g) T₇(x,y) = (x,kx+y)

h) T₈ (x,y) = (cos(theta)x - sin(theta)y, sin(theta)x + cos(theta)y)

Answer 1