Topic: Matrix of the Linear Transformation
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What is the standard matrix of the linear transformation T?
(1,0) after reflection is still (1,0) then after rotation is (0, 1). (0,1) after reflection is (0, -1) then after rotation is (1, 0). So the matrix is: 0 1 1 0 which is a reflection in y=x. Read More »
Source: http://answers.yahoo.com/question/index?qid=20111011103506AAvLmL7
How to show a matrix is a linear transformation?
Show that for any x,y in the domain of the transformation and for every scalar k you have T(x+y)=T(x)+T(y) T(kx)=kT(x). More help? Visit http://www.watchmath.com Read More »
Source: http://answers.yahoo.com/question/index?qid=20081018174518AApbBR5
How to Solve Linear Equations with the Matrix Method in Excel
You can solve a system of linear equations by turning the coefficients of the variables into a square matrix, as noted in Hoffman and Kunze's "Linear Algebra." For example, 2x+4y=0 3x+2y=2 yields the matrix 2__4 3__2. Here, the underscores ... Read More »
Source: http://www.ehow.com/how_5898417_solve-equations-matrix-method-exc...
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Matrix of the Linear Transformation
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Linear transformations can be very important in graphics. Also, linear transformations come up whenever you need to solve systems of linear equations, which arise quite often. Finally, they can be useful in further areas of mathematics such...
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Source: http://wiki.answers.com/Q/What_are_the_applications_of_linear_tra...
( ′lin·ē·ər ′tranz·fər′mā·shən ) (mathematics) A function T defined in a vector space E and having its values in another vector space over the same field, such that if ƒ and g are vectors in E, and c is a scalar, then T(ƒ + g) = Tƒ + Tg and...
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Source: http://www.answers.com/topic/linear-transformation
( ¦bau̇n·dəd ¦lin·ē·ər tranz·fər′mā·shən ) (mathematics) A linear transformation T for which there is some positive number A such that the norm of T(x) is equal to or less than A times the norm of x for each x.
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Source: http://www.answers.com/topic/bounded-linear-transformation
( ¦klōzd ¦lin·ē·ər ′tranz·fər′mā·shən ) (mathematics) A linear transformation T such that the set of points of the form [x,T(x)] is closed in the Cartesian product &Dmacr; × &Rmacr; of the closure of the domain D and the closure of the rang...
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Source: http://www.answers.com/topic/closed-linear-transformation
( ′tranz·fər′mā·shən ′mā·triks ) (electromagnetism) A two-by-two matrix which relates the amplitudes of the traveling waves on one side of a waveguide junction to those on the other.
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Source: http://www.answers.com/topic/transformation-matrix
Linear transformation -noun Mathematics. a map from one vector space to a vector space having the same field of scalars, MORE
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Source: http://www.chacha.com/question/what-is-the-defintion-of-a-linear-...
