Let A matrix given below: A [4 11 141 18 7 -2 a) If x are the points on the unit sphere, what shape does the linear transformation Ax form? b) Find a unit vector x at which the |Ax|| is maximized and compute the maximum value.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 54EQ
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Let A matrix given below:
11
14
A =
a) If x are the points on the unit sphere, what shape does the linear transformation Ax
form?
b) Find a unit vector x at which the ||Ax|| is maximized and compute the maximum value.
Transcribed Image Text:Let A matrix given below: 11 14 A = a) If x are the points on the unit sphere, what shape does the linear transformation Ax form? b) Find a unit vector x at which the ||Ax|| is maximized and compute the maximum value.
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