Determine if the matrix is orthogonal. If it is orthogonal then find its inverse.2133V5V5V543V45V45Determine if the matrix is orthogonal. If it is orthogonal then find its inverse.0.50.5 -0.5 -0.5)-0.5 0.5 -0.50.50.50.50.50.5-0.5 0.50.5-0.52)

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Answered: etermine if the matrix is orthogonal.…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 17E

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(a) The matrix I=[1001] is called an _____ matrix. (b) If A is a 22 matrix, then AI= _____ and IA= _____. (c) If A and B are 22 matrices with AB=I , then B is the _____ of A.
Which of the following operations can we perform for a matrix A of any dimension? (i) A+A (ii) 2A (iii) AA
GuidedProof Prove that if A is an mn matrix, then AAT and ATA are symmetric matrices. Getting Started: To prove that AAT is symmetric, you need to show that it is equal to its transpose, AATT=AAT. i Begin your proof with the left-hand matrix expression AATT. ii Use the properties of the transpose operation to show that AATT can be simplified to equal the right-hand expression, AAT. iii Repeat this analysis for the product ATA.
When Do Matrices Have Inverse? Find the inverse of the matrix. For what value(s) of x, if any, does the matrix have no inverse? [ e x e 2x e 2x e 3x]
A square matrix is called upper triangular if all of the entries below the main diagonal are zero. Thus, the form of an upper triangular matrix is where the entries marked * are arbitrary. A more formal definition of such a matrix . 29. Prove that the product of two upper triangular matrices is upper triangular.
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etermine if the matrix is orthogonal. If it is orthogonal then find its inv 2