5 Answered Questions for the topic Linear Transformations

Linear Transformations Linear Algebra Matrix Find Standard Matrix

09/25/21

Can I find a standard matrix when only two linear transformations are given?
Hi!I study linear algebra in Swedish so sorry if I get some of the words wrong.My question is, how do you find A when A*(1,1,1)=(1,0,1) and A*(1,0-1)=(1,1,2) where A is a 3x3 matrix.I know when... more
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Linear Transformations Linear Algebra

02/28/20

Linear Transformation Question
Suppose u = (2, 1, -1)/√6 and let Pu be the linear transformation that projects R3 onto the line through the origin in the direction of the unit vector u. Find all vectors v ∈ R3 with the property... more
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Linear Transformations Linear Algebra Standard Matrix

01/30/20

Standard Matrices of Linear Transformations
Find the standard matrix of the linear transformations T that act as follows:(a) T(x, y) = (-4x + 6y, -x - 5y)(b) T(x y,) = (-2x - y, 2x + 3y, -4x + y)
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Linear Transformations Math Linear Algebra Linear Equations

11/01/19

Please Help: Linear Algebra Question (linear transformations)
 If T is a linear transformation such thatT([3, 2])=[21, 5, -2] and T([4, -1])=[28, -8, 1]Then the matrix A that induces T is:*I'm confused on how to even approach this problem*Thank you
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Linear Transformations Vectors

06/13/16

Special Subspaces Proof
Let L: Rn -> Rn be  linear mapping. Assume that {v1,...,vn} is a basis for Rn such that {v1,...,vk} is a basis for Ker(L). Prove that {L(vk+1),...,L(vn)} spans Range(L).   Not sure how to go... more
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