Define T: R² R² by T(x) = Ax, where A is the matrix defined below. Find a basis B for R² with the property that [T]B is diagonal. -7 -9 A=[721] 14 8=(-1) •(-;])~-0 B= [T] =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 7E
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Define T: R²R² by T(x) = Ax, where A is the matrix defined below. Find a basis B for R² with the property that [T]
is diagonal.
-7
-9
A=[ 72 748]
12
14
³-(-1)9~-0
[T] =
B=
Transcribed Image Text:Define T: R²R² by T(x) = Ax, where A is the matrix defined below. Find a basis B for R² with the property that [T] is diagonal. -7 -9 A=[ 72 748] 12 14 ³-(-1)9~-0 [T] = B=
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