Math

Let T: R^3 -> R^3 be a linear transformation whose matrix, with respect to the standard basis is
|1 1 2|
|1 3 0|
|1 0 1|.

If T^(-1){
|96| |u|
| 2| = |v|
| 3| |w|}

then the value of v is?

  1. 👍 0
  2. 👎 0
  3. 👁 75

Respond to this Question

First Name

Your Response

Similar Questions

  1. Linear Algebra

    2. Suppose that T is a linear transformation from R2 to R4 such that T ((1, 1)) = (3, −1, 4, −3) and T ((2, −1)) = (3, −2, −1, −3). Determine the matrix of T (with respect to the standard bases). 3. Suppose that T is a

    asked by Ryan on October 18, 2015
  2. Math: Linear Algebra

    Let T1: P1 -> P2 be the linear transformation defined by: T1(c0 + c1*x) = 2c0 - 3c1*x Using the standard bases, B = {1, x} and B' = {1, x, x^2}, what is the transformation matrix [T1]B',B T(c0 + c1*x) = 2c0 - 3c1*x ---> T(1) = 2

    asked by mathstudent on June 9, 2007
  3. Linear Algebra

    Consider the linear transformation T: R^3->R^3 which acts by rotation around the y-axis by an angle of pi, followed by a shear in the x-direction by a factor of 2. a) Find the matrix for T. Explain your method. b) What is T(1,2,3)

    asked by Brody on March 5, 2014
  4. matrix, linear transformations

    Morning, Bit confused: I have been given the following: g(x,y)=(4x,6y) h(x,y)=(x+2y,y) k(x,y)=(y,x) and ive got the following matrix for each of them: g={{4,0},{0,6}} h={{1,2},{0,1}} k={{0,1},{1,0}} So ive been asked to prove the

    asked by Anon on February 25, 2017
  5. Linear Algebra

    Let T : Rn-->Rn be a linear transformation, whose standard matrix is invertible. Show that if B = {v1, . . . , vn} is a basis for Rn, then {T(v1), . . . ,T(vn)} is also a basis for Rn.

    asked by Alex on April 26, 2016
  1. linear algebra

    Hello, how can I proof the next theorem? I have a linear transformation T(X) that can be express as T(X)=AX and A is an orthogonal matrix, then ||T (X)||=||X|| , I was doing this: ||T (X)||=sqrt() But I don't know what to do with

    asked by Mery on January 29, 2017
  2. science

    1 A ……... is a rectangular array of numbers that are enclosed within a bracket . horizontal set vertical matrix 2 When the numbers of rows is equal to the numbers of columns equal to 'n'. Where m=n. Then is

    asked by sunday on March 15, 2014
  3. Linear Algebra

    Diagonalize the matrix A = [1,1;-2,4] using a similarity transformation. Give the transformation matrices such that (C^−1)AC = D, where D is a diagonal matrix. (D, C) = ?

    asked by anon on March 23, 2016
  4. Linear Algebra

    Diagonalize the matrix A = [1,1;-2,4] using a similarity transformation. Give the transformation matrices such that (C^−1)AC = D, where D is a diagonal matrix. (D, C) = ?

    asked by anon on March 21, 2016
  5. Math

    The transformation T:R^2--》R^2 is defined by T(1,0)=(2,-5) and T(-3,2)=(1,4). Find the natural matrix of the linear transformation T and find T(x,y).

    asked by Phil on December 3, 2017

More Similar Questions