Consider the function T: R2-R2 given by 4x +5y Find one counterexample that shows that T is not a...
(1 point a. The linear transformation T : R2 → R2 is given by: Ti (x, y) = (2x + 9y, 4x + 19y). Find T1x, y). 「-i(x, y) =( x+ y, x+ b. The linear transformation T2 : R' → R' is given by: T2(x, y, z) (x + 2z,2r +y, 2y +z) Find (x, y, z). T2-1(x,y,z)=( x+ y+ z, x+ y+ z, x+ y+ z)
o (translation in R2) Determine whether the function is a linear transformation. T: R2 + R2, T(x, y) = (x + h, y-k), h0 or k linear transformation O not a linear transformation If it is, find its standard matrix A. (If an answer does not exist, enter DNE in any cell of the matrix.)
Consider the linear transformation T : R2 + R2 defined as T(21,12)=(0,21 – 12). Find the standard matrix for T: a ab sin(a) 8 f E д 0 0 1 What is the dimension of ker(T)? Is T one-to-one? no 47 Enter one: yes no Write the standard matrix for HoT, where H is the reflection of R2 about the z-axis. a ab sin(a) f 12 II 8 R ат
4. T: R2 + R2 is a function such that T(1,1)= (1,0) and T(1, -1) = (0,1). (a) (3 marks) If T is a linear transformation, calculate T(3,1). (b) (2 marks) If T(2,0) = (2, 2), prove that T is not a linear transformation.
R2 defined as Consider the linear transformation T: R2 T(21,22)=(0,21 – 22) Find the standard matrix for T: a ab sin (a) f 8 ат What is the dimensi of ker(T)? Is T one-to-one? Enter one: yes no Write the standard matrix for HoT, where H is the reflection of R2 about the 3-axis. a sin(a) f 22 8 R a E är (Alt + A)
DETAILS LARLINALG8 6.R.013. Determine whether the function is a linear transformation. T: R2 – R2, T(x, y) = (x + h. y + k), h + 0 or k + 0 (translation in R2) linear transformation not a linear transformation If it is, find its standard matrix A. (If an answer does not exist, enter DNE in any cell of the matrix.) 11
Is the transformation, T, given below a Linear Transformation
where T: R2 -> R2
[:] - [+*] (y + 1)2 1 x - 1 1
11. Consider the basis S = {(-2,1),(1,3)} for R2. Let T: R2 → R3 be a linear transformation such that T(-2, 1) = (-1,2,0) and T(1,3) = (0,-3,5). Find T(2,-3).
Consider the linear transformation T: R4 + R2 defined as T(11,12,13,14)=(-221 +22 +2 14,322 -14) Find the standard matrix for T: ab sin(a) f 8 a 12 . ar What is the dimension of ker(T)? Number Is T one-to-one? Enter one yes no Write the standard matrix for HoT, where H is the reflection of R2 about the line y=1. ab sin(a) f αο α Ω TI д
what is the answer to this inequalities
2x+3y<18, -4x-4y<8, -3x+4y<12, y>-13, y<2 and
4x-5y<20 ?
ure hidden in one of the locations across the US. In order to find the locati coordinate points: the linear inequality system will send you right to the location of the treasure! The t located at the point that saties the sysfem. First one to find it, wins a prize!:)
ure hidden in one of the locations across the US. In order to find the...