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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 
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 
Linear Algebra
Consider the linear transformation T: R^3>R^3 which acts by rotation around the yaxis by an angle of pi, followed by a shear in the xdirection 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 
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 
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

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 
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 
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 
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 
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