- #1
Rizzamabob
- 21
- 0
"Determine whether each of the following functions is a linear transformation. If you think the
function is a linear transformation then prove that it is. If you think the function is not a linear
transformation then explain why.
(a) T : R2 ! R2; T(x, y) = (x − 2y, 2xy)."
I don't want an answer, i won't to learn how to do these types of problems, i never understood it at all, And stuff like this ??
T : R4 ! R3; T(x, y, z,w) = (x − 2y, y + w, z).
Find a matrix A such that T(u) = Au, where u 2 R4.
Consider the following linear transformations:
T : R2 ! R3; T(x, y) = (x + 3y, x − y, 2x),
S : R3 ! R3; S(x, y, z) = (x − 2y, y + z,−z).
(a) Is the composite linear transformation S T defined? If S T is defined, write down
formula for S T.
(b) Does the linear transformation S have an inverse? Give a reason for your answer.
Can you guys give me a link or something where i can learn wtf this means i never understood linear transformations, and i bombed out in the exam, but i want to get better. Thanks, BTW I DONT WANT ANSWERS Just want to know how to do all kinds of problems like above
function is a linear transformation then prove that it is. If you think the function is not a linear
transformation then explain why.
(a) T : R2 ! R2; T(x, y) = (x − 2y, 2xy)."
I don't want an answer, i won't to learn how to do these types of problems, i never understood it at all, And stuff like this ??
T : R4 ! R3; T(x, y, z,w) = (x − 2y, y + w, z).
Find a matrix A such that T(u) = Au, where u 2 R4.
Consider the following linear transformations:
T : R2 ! R3; T(x, y) = (x + 3y, x − y, 2x),
S : R3 ! R3; S(x, y, z) = (x − 2y, y + z,−z).
(a) Is the composite linear transformation S T defined? If S T is defined, write down
formula for S T.
(b) Does the linear transformation S have an inverse? Give a reason for your answer.
Can you guys give me a link or something where i can learn wtf this means i never understood linear transformations, and i bombed out in the exam, but i want to get better. Thanks, BTW I DONT WANT ANSWERS Just want to know how to do all kinds of problems like above