QUESTION 17 Find the kernel of the linear transformation T: R³ → R³, defined by T(x,y,z)=(3x,0, z) a, ker(7) = ((0, s,0)}, where s is any real number b. ker(7) = ((r, 0, 0)}, where r is any real number c. ker(7) = {(0, 0, 0)} d. ker(7) = {(r, 5, 0)}, where y and : are any real numbers O . ker(T) = {(0, 5, t1)), where : and t are any real numbers QUESTION 18 Use the standard matrix for the linear transformation T: R R³ defined by T(x,y)= (4x – 6y, 5x + 2y, y) to find the image of the vector v= (2, –2). а. Т2, -2) - (-4, 14, 2) ь. Т(2, -2) - (6, -2, 20) TO -=(18 16 2)
QUESTION 17 Find the kernel of the linear transformation T: R³ → R³, defined by T(x,y,z)=(3x,0, z) a, ker(7) = ((0, s,0)}, where s is any real number b. ker(7) = ((r, 0, 0)}, where r is any real number c. ker(7) = {(0, 0, 0)} d. ker(7) = {(r, 5, 0)}, where y and : are any real numbers O . ker(T) = {(0, 5, t1)), where : and t are any real numbers QUESTION 18 Use the standard matrix for the linear transformation T: R R³ defined by T(x,y)= (4x – 6y, 5x + 2y, y) to find the image of the vector v= (2, –2). а. Т2, -2) - (-4, 14, 2) ь. Т(2, -2) - (6, -2, 20) TO -=(18 16 2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Use the functions
in Cl-1, 1] to find
8/ for the inner product
Oa 4.8)= 19
b.S. g) =
g) =
180
Ob.
80
c. S.
O a. S.8)=
QUESTION 17
Find the kemel of the linear transformation T: R3 + R, defined by T(x, y, z)= (3x, 0, z)
ker(T) = (0, 5,0)}, where s is any real number
b. ker(T) = (r, 0, 0)}, where r is any real number
. ker(T) = {(0, 0, 0)}
d. ker(7) = {(7, 5, 0)}, where r and s are any real numbers
e, ker(T) = {(0, s, t)}, where : and t are any real numbers
a
QUESTION 18
Use the standard matrix for the linear transformation T: R² +R° defined by T(x, y)= (4x - 6y, 5x +2y, y) to find the image of the vector V= (2, -2).
O a. 7(2, -2) = (-4, 14, 2)
. 7(2, -2) = (6, -2, 20)
TO -=(18 16 2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bfd194c-b3f7-49d1-9e18-7869d9042f91%2Fabf8bc91-6556-4587-8e98-77ff61988bf6%2Fr1qiyrk_processed.png&w=3840&q=75)
Transcribed Image Text:Use the functions
in Cl-1, 1] to find
8/ for the inner product
Oa 4.8)= 19
b.S. g) =
g) =
180
Ob.
80
c. S.
O a. S.8)=
QUESTION 17
Find the kemel of the linear transformation T: R3 + R, defined by T(x, y, z)= (3x, 0, z)
ker(T) = (0, 5,0)}, where s is any real number
b. ker(T) = (r, 0, 0)}, where r is any real number
. ker(T) = {(0, 0, 0)}
d. ker(7) = {(7, 5, 0)}, where r and s are any real numbers
e, ker(T) = {(0, s, t)}, where : and t are any real numbers
a
QUESTION 18
Use the standard matrix for the linear transformation T: R² +R° defined by T(x, y)= (4x - 6y, 5x +2y, y) to find the image of the vector V= (2, -2).
O a. 7(2, -2) = (-4, 14, 2)
. 7(2, -2) = (6, -2, 20)
TO -=(18 16 2)
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