Question

If T:R3→R3T:R3→R3 is a linear transformation such that T(1 0 0) = ( 2 4 2)...

If T:R3→R3T:R3→R3 is a linear transformation such that

T(1 0 0) = ( 2 4 2) , T(0 1 0) =(1 4 1) , T(0 0 1) = ( 2 2 3) then T  = (-2 4 4).

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
10 Linear Transformations. Let V = R2 and W = R3. Define T: V → W...
10 Linear Transformations. Let V = R2 and W = R3. Define T: V → W by T(x1, x2) = (x1 − x2, x1, x2). Find the matrix representation of T using the standard bases in both V and W 11 Let T :R3 →R3 be a linear transformation such that T(1, 0, 0) = (2, 4, −1), T(0, 1, 0) = (1, 3, −2), T(0, 0, 1) = (0, −2, 2). Compute T(−2, 4, −1).
b) More generally, find the matrix of the linear transformation T : R3 → R3 which...
b) More generally, find the matrix of the linear transformation T : R3 → R3 which is u1  orthogonal projection onto the line spanu2. Find the matrix of T. Prove that u3 T ◦ T = T and prove that T is not invertible.
Does there exist a linear transformation T from R2 to R3 that is onto but not...
Does there exist a linear transformation T from R2 to R3 that is onto but not 1-1? Support your answer with a proof or counterexample, as appropriate.
Consider the linear transformation P : R3 → R3 given by orthogonal projection onto the plane...
Consider the linear transformation P : R3 → R3 given by orthogonal projection onto the plane 3x − y − 2z = 0, using the dot product on R3 as inner product. Describe the eigenspaces and eigenvalues of P, giving specific reasons for your answers. (Hint: you do not need to find a matrix representing the transformation.)
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.
Determine whether or not the transformation T is linear. If the transformation is linear, find the...
Determine whether or not the transformation T is linear. If the transformation is linear, find the associated representation matrix (with respect to the standard basis). (a) T ( x , y ) = ( y , x + 2 ) (b) T ( x , y ) = ( x + y , 0 )
Let T be the function from R2 to R3 defined by T ( (x,y) ) =...
Let T be the function from R2 to R3 defined by T ( (x,y) ) = (x, y, 0). Prove that T is a linear transformation, that it is 1-1, but that it is not onto.
Problem 2. (20 pts.) show that T is a linear transformation by finding a matrix that...
Problem 2. (20 pts.) show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2, ... are not vectors but are entries in vectors. (a) T(x1, x2, x3, x4) = (0, x1 + x2, x2 + x3, x3 + x4) (b) T(x1, x2, x3, x4) = 2x1 + 3x3 − 4x4 (T : R 4 → R) Problem 3. (20 pts.) Which of the following statements are true about the transformation matrix...
Linear Algebra Find the 2x2 matrix A of a linear transformation T: R^2->R^2 such that T(vi)...
Linear Algebra Find the 2x2 matrix A of a linear transformation T: R^2->R^2 such that T(vi) = wi for i = 1,2. v1=(4,3), v2=(5,4); w1=(-3,2), w2=(-3,-4)
Let T(V)=AV be a linear transformation where A=(3 -2 6 -1 15, 4 3 8 10...
Let T(V)=AV be a linear transformation where A=(3 -2 6 -1 15, 4 3 8 10 -14, 2 -3 4 -4 20) a.) construct a basis of the kernal T b.) calculate the basis of the range of T c.) determine the rank and nullity of T
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT