We say that a linear transformation A preserves angles if for any ordered pair of vectors (X1; X2), the angle from X to X, is the same as the angle from A(X1) to A(X2). (4) with a and b not both 1. Show that if A is a linear transformation with m(A) = 0, then A preserves angles.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 34E
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hello, would you please help me with this? Thanks in advance.
We say that a linear transformation A preserves angles if for
any ordered pair of vectors (X1, X,), the angle from X, to X, is the same as the angle from
A(X1) to A(X2).
with a and b not both
1. Show that if A is a linear transformation with m(A)
0, then A preserves angles.
then A preserves
2. Show that if A is a linear transformation with m(A)
0t2
angles if and only if ti = t2.
Transcribed Image Text:We say that a linear transformation A preserves angles if for any ordered pair of vectors (X1, X,), the angle from X, to X, is the same as the angle from A(X1) to A(X2). with a and b not both 1. Show that if A is a linear transformation with m(A) 0, then A preserves angles. then A preserves 2. Show that if A is a linear transformation with m(A) 0t2 angles if and only if ti = t2.
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