II. Let V =span- and define the transformations [a b] c d [a² – 6? c? - d²1 S(A) = adj(A) d Determine which transformations are linear. i. T: M2x2(R) → M2x2(R) ii. S: M2x2(R) → M2x2(R) iii. T :V → M2x2(R)

Q: Determine whether the given transformation is linear or not? T(x, X2, X3) = (X1,X2, XzX3)

A: Any transformation T is linear if and only if (a) T(x+y) = T(x)+T(y) (b) T(ax) = aT(x) Given Tx1 ,…

Q: and let T: R2-R? be a linear transformation that maps e, into y, and maps e, into y,. Find the…

A: We have to find of given elements.

Q: T: P₂ → P₂, T(a₁ + ª₁x + ª₂x²) = a₁ + 2a₂x

A:

Q: (ED) F 3x1 + x2 - 6x3 -x₁ + x₂ +13x3

A:

Q: Determine whether the function is a linear transformation. T: P₂ → P₂, T(ao + a₁x + a₂x²) = (a + a₁…

A: Linear transformation :  Let 'U' and 'V' be two vector spaces over the field of 'F' . Then a…

Q: Consider the transformation H: R4 → R³ defined by H(a, b, c, d) = (3b-c, 3a+c+ 2d, d-c-2a-8).…

A:

Q: Let T1 : P2 → R² and T2 : R → R2x2 be linear transformations defined as follows. a +b] Ti (аx? + bx…

A:

Q: Let T : P2 → P2 be a function represented by T(c+ bx + ax?) = (3c+ a) + (2b + 3a)a + ax? Determine…

A: