Explanation Given information: The vectors b 1 = [ 1 0.2 ] , b 2 = [ 0.2 1 ] , and [ x ] β = [ 3 2 ] . The vector x in a subspace with a basis β = { [ 1 0.2 ] , [ 0.2 1 ] } . Calculation: The definition of coordinate vector x is shown below. Let the set β = { b 1 , . . . , b p } is a chance to be a reason for the subspace H . For all x in H , the coordinates of x reference to the basis β with the weights c 1 , . . . , c p such that x = c 1 b 1 + ⋅ ⋅ ⋅ + c p b p , and the vector R p [ x ] β = [ c 1 . : c p ] is called as the coordinate of vector x or the β -coordinate of vector x. The coordinates of x with reference to the basis β as shown below. x = c 1 b 1 + c 2 b 2 (1) The scalars of the β -coordinates of x

Thomas' Calculus and Linear Algebra and Its Applications Package for the Georgia Institute of Technology, 1/e

5th Edition

ISBN: 9781323132098

Author: Thomas, Lay

Publisher: PEARSON C

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Chapter 2.9, Problem 2PP

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Chapter 2 Solutions

Thomas' Calculus and Linear Algebra and Its Applications Package for the Georgia Institute of Technology, 1/e

Ch. 2.1 - Since vectors in n may be regarded as n 1...Ch. 2.1 - Let A be a 4 4 matrix and let x be a vector in 4....Ch. 2.1 - Suppose A is an m n matrix, all of whose rows are...Ch. 2.1 - In Exercises 1 and 2, compute each matrix sum or...Ch. 2.1 - In Exercises 1 and 2, compute each matrix sum or...Ch. 2.1 - In the rest of this exercise set and in those to...Ch. 2.1 - Compute A 5I3 and (5I3)A, when A=[913876418].Ch. 2.1 - In Exercises 5 and 6, compute die product AB in...Ch. 2.1 - In Exercises 5 and 6, compute die product AB in...Ch. 2.1 - If a matrix A is 5 3 and the product AB is 5 7,...

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