Question

Find the matrix for a linear map T: R4 -> R3 given by T([a, b, c,...

Find the matrix for a linear map T: R4 -> R3 given by T([a, b, c, d]) = [-c+d, a-b+4c, 3b+2d].

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
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.
Suppose A is the matrix for T: R3 → R3 relative to the standard basis. Find...
Suppose A is the matrix for T: R3 → R3 relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. A = −1 −2 0 −1 0 0 0 0 1 , B' = {(−1, 1, 0), (2, 1, 0), (0, 0, 1)}
For the linear operator T on V , find an ordered basis for the T -cyclic...
For the linear operator T on V , find an ordered basis for the T -cyclic subspace generated by the vector v. (a) V =R3,T(a,b,c)=(2a+b,b−3a+c,4c)wherev=(1,0,0). (b) V = P3(R), T(f(x)) = 3f′′(x), and v = x2.
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.
Find a basis B for the domain of T such that the matrix for T relative...
Find a basis B for the domain of T such that the matrix for T relative to B is diagonal. T: R3 → R3: T(x, y, z) = (−4x + 2y − 3z, 2x − y − 6z, −x − 2y − 2z) B =
Find a basis B for the domain of T such that the matrix for T relative...
Find a basis B for the domain of T such that the matrix for T relative to B is diagonal. T: R3 → R3: T(x, y, z) = (−5x + 2y − 3z, 2x − 2y − 6z, −x − 2y − 3z)
Find the coordinates of e1 e2 e3 of R3 in terms of [(1,0,0)T , (1,1,0)T ,...
Find the coordinates of e1 e2 e3 of R3 in terms of [(1,0,0)T , (1,1,0)T , (1,1,1)T ] of R3,, and then find the matrix of the linear transformation T(x1,, x2 , x3 )T = [(4xx+ x2- x3)T , (x1 + 3x3)T , (x2 + 2x3)T with respect to this basis.
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.)
Find a basis B for the domain of T such that the matrix for T relative...
Find a basis B for the domain of T such that the matrix for T relative to B is diagonal. T: R3 → R3: T(x, y, z) = (−5x + 2y − 3z, 2x − 2y − 6z, −x − 2y − 3z) B = Incorrect: Your answer is incorrect.
Find the standard matrix for the linear transformation f(a, b, c, d)=(b-c+d, 2b-3d). Find the standard...
Find the standard matrix for the linear transformation f(a, b, c, d)=(b-c+d, 2b-3d). Find the standard matrix for the linear transformation that flips the xy plane over the y axis and rotates it by π/4 radians CCW.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT