Answered: For origin centered unit square, rotate…

For origin centered unit square, rotate 45 clockwise, scale by a factor 2 in the x-direction. Find resultant coordinates of the square (write required matrices).

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section2.4: Linear Independence And Linear Dependence

Problem 6P

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Concept explainers

LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.

Question

For origin centered unit square, rotate 45
clockwise, scale by a factor 2 in the x-direction.
Find resultant coordinates of the square (write
required matrices).

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