Consider the linear algebraic equation Ax=y Suppose the equation is solved for three special right hand sides y, as follows Ax1 = A x2 = AX3 = 1. If we put the solutions x,,X2 and x3 as columns of a matrix x= x, x2 X3 what is A X? 2. If the three solutions in part (1) are X1 = 1 X2 = X3 solve A x=y tor y= 5 1 3. Use the information in parts (1), and (2) to find A·

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 4CEXP
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Consider the linear algebraic equation
Ax=y
Suppose the equation is solved for three special right hand sides
as follows
y.
Ax, =0
A x2 =
Ax3 =0
0.
1. If we put the solutions x4,X, and x3 as columns of a matrix x = x, X2 X3 what is A X?
3
solve A x=y for y= 5
2. If the three solutions in part (1) are
X1
1
%3D
3. Use the information in parts (1), and (2) to find
8
A
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Browse Local Files
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Transcribed Image Text:Consider the linear algebraic equation Ax=y Suppose the equation is solved for three special right hand sides as follows y. Ax, =0 A x2 = Ax3 =0 0. 1. If we put the solutions x4,X, and x3 as columns of a matrix x = x, X2 X3 what is A X? 3 solve A x=y for y= 5 2. If the three solutions in part (1) are X1 1 %3D 3. Use the information in parts (1), and (2) to find 8 A Attach File Browse Local Files Browse Content Collection for Copyright Cleared File
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