6. Let T: R² → R² be the transformation that rotates a vector 90 degrees counter clockwise, scales it by 2 and Use the d
Posted: Wed Jul 06, 2022 11:52 am
6. Let T: R² → R² be the transformation that rotates a vector 90 degrees counter clockwise, scales it by 2 and Use the definition of a linear transformation then flips it across the y-axis. Note that T ¹([;))-[2] · · to show that T is linear. -2.r 7. Assume that {V₁, V2, V3} is a linearly dependent set in R" and that T: R" → R is a linear transformation. Show that {T(v₁), T(v₂), T(v3)} is linearly dependent in R™¹.