Question

Find the kernel and range and null and rank of (i) the derivative transformation on R[x];...

Find the kernel and range and null and rank of (i) the derivative transformation on R[x];
(ii) T : R3 -> R2 where T(a; b; c) = (a + b - c; a - b)

full steps please

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the transformation T: R2 -> R3 defined by T(x,y) = (x-y,x+y,x+2y) Answer the Following a)Find...
Consider the transformation T: R2 -> R3 defined by T(x,y) = (x-y,x+y,x+2y) Answer the Following a)Find the Standard Matrix A for the linear transformation b)Find T([1 -2]) c) determine if c = [0 is in the range of the transformation T 2 3] Please explain as much as possible this is a test question that I got no points on. Now studying for the final and trying to understand past test questions.
Assume that T is a linear Transformation. a) Find the Standard matrix of T is T:...
Assume that T is a linear Transformation. a) Find the Standard matrix of T is T: R2 -> R3 first rotate point through (pie)/2 radian (counterclock-wise) and then reflects points through the horizontal x-axis b) Use part a to find the image of point (1,1) under the transformation T Please explain as much as possible. This was a past test question that I got no points on. I'm study for the final and am trying to understand past test questions.
Consider the mapping R^3 to R^3 T[x,y,z] = [x-2z, x+y-z, 2y] a) Show that T is...
Consider the mapping R^3 to R^3 T[x,y,z] = [x-2z, x+y-z, 2y] a) Show that T is a linear Transformation b) Find the Kernel of T Note: Step by step please. Much appreciated.
Find the standard matrix for the following transformation T : R 4 → R 3 :...
Find the standard matrix for the following transformation T : R 4 → R 3 : T(x1, x2, x3, x4) = (x1 − x2 + x3 − 3x4, x1 − x2 + 2x3 + 4x4, 2x1 − 2x2 + x3 + 5x4) (a) Compute T(~e1), T(~e2), T(~e3), and T(~e4). (b) Find an equation in vector form for the set of vectors ~x ∈ R 4 such that T(~x) = (−1, −4, 1). (c) What is the range of T?
Let T: R^3----> R^3 where T(x,y,z) = (x-2z,y+z,x+2y) . Is T a one-to-one transformation? Is the...
Let T: R^3----> R^3 where T(x,y,z) = (x-2z,y+z,x+2y) . Is T a one-to-one transformation? Is the range of T R^3 ? Explain
Let T be the linear transformation from R2 to R2, that rotates a vector clockwise by...
Let T be the linear transformation from R2 to R2, that rotates a vector clockwise by 60◦ about the origin, then reflects it about the line y = x, and then reflects it about the x-axis. a) Find the standard matrix of the linear transformation T. b) Determine if the transformation T is invertible. Give detailed explanation. If T is invertible, find the standard matrix of the inverse transformation T−1. Please show all steps clearly so I can follow your...
(12) (after 3.3) (a) Find a linear transformation T : R2 → R2 such that T...
(12) (after 3.3) (a) Find a linear transformation T : R2 → R2 such that T (x) = Ax that reflects a vector (x1, x2) about the x2-axis. (b) Find a linear transformation S : R2 → R2 such that T(x) = Bx that rotates a vector (x1, x2) counterclockwise by 135 degrees. (c) Find a linear transformation (with domain and codomain) that has the effect of first reflecting as in (a) and then rotating as in (b). Give the...
(a) Let T be any linear transformation from R2 to R2 and v be any vector...
(a) Let T be any linear transformation from R2 to R2 and v be any vector in R2 such that T(2v) = T(3v) = 0. Determine whether the following is true or false, and explain why: (i) v = 0, (ii) T(v) = 0. (b) Find the matrix associated to the geometric transformation on R2 that first reflects over the y-axis and then contracts in the y-direction by a factor of 1/3 and expands in the x direction by a...
1. Find the derivative of each function. Please I just need the first-two steps not the...
1. Find the derivative of each function. Please I just need the first-two steps not the full answer. Thank you! a. f(x)=6x^8 (log5(3x+1)) b.y=sin x/ 3+4sqrtx c.y=arccos(4x)+sec(5x) d.y=3^x/ 2+cscx e.y=arctan (5x)-e^6x
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative....
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative. Simplify all steps.     a. Find f(x + h).   ____________     b. Find f(x + h) – f(x).   ____________     c. Find [f(x + h) – f(x)] ÷ h.   ____________   d. Find lim (hà0) [f(x + h) – f(x)] ÷ h.   ____________     e. Find an equation of the line tangent to the graph of y = x2 – 8x where x = -3. Present your answer...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT