(25) Suppose T : R³ → P₂ is a linear transformation defined by ((:)) T = (-2a₁ + a₂ - 4a3) + (7a₁ + 3a2 + a²)x+ a₁x². Re
Posted: Thu Jun 30, 2022 7:34 pm
(25) Suppose T : R³ → P₂ is a linear transformation defined by ((:)) T = (-2a₁ + a₂ - 4a3) + (7a₁ + 3a2 + a²)x+ a₁x². Recall that the standard basis on P₂ is {1, x, x²}. (a) Find the standard matrix for T. Page < (b) Determine whether T is an isomorphism. 23 of 23 с ZOOM +