- 25 Suppose T R P Is A Linear Transformation Defined By T 2a1 A 4a3 7a1 3a2 A3 X A X Recall 1 (26.29 KiB) Viewed 50 times
(25) Suppose T: R³ → P₂ is a linear transformation defined by (()) T = (-2a1 + a₂ 4a3) + (7a1 +3a2 + a3)x+ a₁x². Recall
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(25) Suppose T: R³ → P₂ is a linear transformation defined by (()) T = (-2a1 + a₂ 4a3) + (7a1 +3a2 + a3)x+ a₁x². Recall
(25) Suppose T: R³ → P₂ is a linear transformation defined by (()) T = (-2a1 + a₂ 4a3) + (7a1 +3a2 + a3)x+ a₁x². Recall that the standard basis on P₂ is {1, x, x²). (a) Find the standard matrix for T. (b) Determine whether T is an isomorphism.