The matrix M represents a linear transformation of two-dimensional space and det(M) = 2, What can be said about the area of a region in the plane compared to the area that it is sent to under the transformation? O The area of the region doubles. O The area of the region triples. O The area of the region is one-third as large. O The area of the region is one-half as large. The linear transformation T sends all of three-dimensional space to a line. What can you say about the value of the determinant of the matrix representing the transformation? O The absolute value of the determinant is less than 1. O The determinant is 0. O The determinant is negative.

The matrix M represents a linear transformation of two-dimensional space and det(M) = 2, What can be said about the area of a region in the plane compared to the area that it is sent to under the transformation? O The area of the region doubles. O The area of the region triples. O The area of the region is one-third as large. O The area of the region is one-half as large. The linear transformation T sends all of three-dimensional space to a line. What can you say about the value of the determinant of the matrix representing the transformation? O The absolute value of the determinant is less than 1. O The determinant is 0. O The determinant is negative.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter11: Matrices And Determinants

Section11.FOM: Focus On Modeling: Computer Graphics

Problem 4P: a Let T=[3001]. What effect does T have on the gray square in Table 1? b Let S=[1002]. What effect...

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