(b) Let M1 be the matrix of the linear transformation T which reflects points about the x-axis and then about the y-axis. Let M2 be the matrix of the linear transformation S which rotates points about the origin by 180 degrees counterclockwise. Are M1 and M2 the same? You must justify your answer.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter11: Matrices And Determinants
Section11.FOM: Focus On Modeling: Computer Graphics
Problem 6P: Here is a data matrix for a line drawing: D=[012100002440] aDraw the image represented by D. bLet...
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please send handwritten solution for part b
4. The two parts of this question are unrelated.
(a) Consider the set of matrices of the form
where x, y, z are in R. Show
that this is a subspace of M2x2 (M2x2 means all possible 2 x 2 matrices).
(b) Let M1 be the matrix of the linear transformation T which reflects points about the
x-axis and then about the y-axis. Let M2 be the matrix of the linear transformation
S which rotates points about the origin by 180 degrees counterclockwise. Are M1
and M2 the same? You must justify your answer.
Transcribed Image Text:4. The two parts of this question are unrelated. (a) Consider the set of matrices of the form where x, y, z are in R. Show that this is a subspace of M2x2 (M2x2 means all possible 2 x 2 matrices). (b) Let M1 be the matrix of the linear transformation T which reflects points about the x-axis and then about the y-axis. Let M2 be the matrix of the linear transformation S which rotates points about the origin by 180 degrees counterclockwise. Are M1 and M2 the same? You must justify your answer.
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