If U:M3x2(F)-->F6 is a linear transformation, then U is an isomorphism.

Check which of the followings are linear transformation (a) T : C→ C, such that T ( x + ί y ) = x (b) T : ?3 → ?4, s. t., T (a, b, c) = (a, a + b, a + b + c, c )

Create a bijective transformation that maps P2 to R^3? If so, create the map, or explain why this is not possible.

Write a rule to describe each transformation

Define a linear transformation T: P₂ → R² by T (p) = [] p(0) ->> p(0) °‹[a] : a is a real number} O The basis of the range of T is {t, t²} The entire set of all real numbers, R [8] The entire set R² [3] : 0 is a real number} : a and b are real numbers} Describe the range of T.

QI) Write down the transformation T (B} 2, 2, (4} 2