Topic: Linear Transformation
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How to Transform a Table to Linear Equations
To transform a table of data into a linear equation, you need to understand the dynamics of a linear equation, which is defined mathematically as y = mx + b. X is a variable that represents one column of data, y is a variable that represent... Read More »
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What is linear transformer?
The Linear Variable Differential Transformer is a type of electrical transformer used for measuring linear displacement. A counterpart to this device that is used for measuring rotary displacement is called a Rotary Variable Differential Tr... Read More »
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What are the applications of linear transformations?
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... Read More »
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Linear Transformation
(n.) Map from one vector space to a vector space having the same field of scalars, with the properties that the map of the sum of two vectors is the sum of the maps of the vectors and the map of a scalar times a vector equals the scalar times the map of the ve
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Linear transformations comprise one of the most important areas of study in mathematics. They have important uses and applications in the real world, and show up in many different areas of the employment sector. Mathematicians describe line...
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( ¦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
( ′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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( ¦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
The null space describes what gets sent to 0 during the transformation. Also known as the kernel of the transformation. That is, for a linear transformation T, the null space is the set of all x such that T(x) = 0.
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Linear transformation -noun Mathematics. a map from one vector spac...
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