What does an eigenvector of a linear transformation in three-dimensional space represent? a stretching or shrinking of the image of a basis vector the axis of rotation of the transformation a stretching or shrinking of a basis vector the perpendicular to the axis of rotation of the transformation What does an eigenvalue of a linear transformation in three-dimensional space represent? O the scaling factor by which vectors are stretched or compressed under the transformation the slope of the axis of rotation of the transformation the distance that space is translated through a transformation the number of degrees that a transformation rotates space

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.2: Diagonalization
Problem 32E
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What does an eigenvector of a linear transformation in three-dimensional space represent?
a stretching or shrinking of the image of a basis vector
the axis of rotation of the transformation
a stretching or shrinking of a basis vector
the perpendicular to the axis of rotation of the transformation
What does an eigenvalue of a linear transformation in three-dimensional space represent?
the scaling factor by which vectors are stretched or compressed under the transformation
the slope of the axis of rotation of the transformation
the distance that space is translated through a transformation
the number of degrees that a transformation rotates space
Transcribed Image Text:What does an eigenvector of a linear transformation in three-dimensional space represent? a stretching or shrinking of the image of a basis vector the axis of rotation of the transformation a stretching or shrinking of a basis vector the perpendicular to the axis of rotation of the transformation What does an eigenvalue of a linear transformation in three-dimensional space represent? the scaling factor by which vectors are stretched or compressed under the transformation the slope of the axis of rotation of the transformation the distance that space is translated through a transformation the number of degrees that a transformation rotates space
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