Assume that T is a linear transformation and T(1,2,1)=(2,1,3), T(-1,2,3)=(1,1,3), 7(2,1,3)=(1,-1,3), Find the image of (2, 1, 2) under T. Give the components of the answer a₁, a2, a3 as in the ordered triple (a₁, a₂, a3). Using Fractions in simplest form and NO DECIMALS "a₁= "),a2= ,a3=

Q: Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) calculate the image of (-2, 3, 5). O a.…

A:

Q: 2a + 56+ c -a – 36 – 2c) 3a + 7b +c -4a – 96 - c, 2. T(а + bx + сх*).

A: The solution is given by using rank nullity theorem and null space as follows :

Q: ordinates A(1,3), B(1,2), CC (Y

A: The co-ordinates of the quadrilateral is A(1,3), B(1,2), C(5,1) , D(4,4)The reflection across the…

Q: Let D be a parallelogram with vertices (0,0), (,1), (2.2), (2,3) Find a linear transformation…

A:

Q: Let S be a linear transformation from R³ to R2 with associated matrix Let T be a linear…

A:

Q: -65 -140 30 65 a. If possible, complete the following equations; otherwise, enter DNE. °][³]= [2]…

A: Note that : Since you have posted a question with multiple subparts, we will provide the solution…

Q: Let -9 D 1.7₁ and Y2 -3 -12] and let T: R² R² be a linear transformation that maps ₁ to ₁ and maps 2…

A:

Q: Let ui = (3, –1,3, 3), u2 = (-2,3, 1, 3), and uz = (0, –1, -1, –1). Write v = (8, –9, 1, –1) as a…

A:

Q: Let T be a linear transformation from R2 into R2 such that T(1, 0) = (1, 1) and T(0, 1) = (-1, 1).…

A: Given: T:R2→R2 To find: T8,1,T-5,1

Q: Determine if the following transformations are linear. a)T(x, y) = (4x-6y,-2x +3y) b)T(x, y, z) =…

A:

Q: (2z + 4y)dA where R is the parallelogram with vertices (0,0), (-5,4), (3,-2), and (-2,2). Use the…

A:

Q: Jacobian of the transformation. x = 8v + 8w2, y = 5w + 5u2, z = 3u + 3v z) II

A: We have to solve the given problem

Q: Let S be a linear transformation from R³ to R2 with associated matrix Let T be a linear…

A:

Q: Calculate 121x dxdy where R is the parallelogram with vertices (0,0), (6,2), (7,6) R 1 -(v — Зи), у…

A: