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Linear combination and linear independence
Linear combination and linear independence

Exam 1 - USU Physics
Exam 1 - USU Physics

... The following questions are all true/false questions. Please Mark [a] on your Scantron sheet for true and [b] for false. 1) True or False? All objects have a center of mass. 2) True or False? The area under a velocity vs. time graph is the acceleration. 3) True or False? A ball is thrown up in the a ...
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... When Ax D b is solvable for all b, every b is in the column space of A. So that space is R9 . (a) If u and v are both in S C T , then u D s1 C t 1 and v D s2 C t 2 . So u C v D .s1 C s2 / C .t 1 C t 2 / is also in S C T . And so is cu D cs1 C ct 1 : a subspace. (b) If S and T are different lines, th ...
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PHYS 101 Lecture 2 - Simon Fraser University

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Combining systems: the tensor product and partial trace

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< 1 ... 168 169 170 171 172 173 174 175 176 ... 214 >

Four-vector

In the theory of relativity, a four-vector or 4-vector is a vector in Minkowski space, a four-dimensional real vector space. It differs from a Euclidean vector in how its magnitude is determined. The transformations that preserve this magnitude are the Lorentz transformations, which include spatial rotations, boosts (a change by a constant velocity to another inertial reference frame), and temporal and spatial inversions. Regarded as a homogeneous space, the transformation group of Minkowski space is the Poincaré group, which adds to the Lorentz group the group of translations. The Lorentz group may be represented by 4×4 matrices.The article considers four-vectors in the context of special relativity. Although the concept of four-vectors also extends to general relativity, some of the results stated in this article require modification in general relativity.
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