Let T:M_2 -> M_2 be the linear transformation given by a b 0 1 a b T с d c d 1 1 Find the matrix of this transformation T in basis of matrix units 1 0 0 1 0 0 0 0 M_2 = < 0 0 1 0 0 1 Write the 2-3 entry of the matrix

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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Let T:M_2 -> M_2 be the linear transformation given by
a b
0 1
a b
T
с d
c d
1 1
Find the matrix of this transformation T in basis of matrix units
1 0
0 1
0 0
0 0
M_2 = <
0 0
0 0
1 0
0 1
Write the 2-3 entry of the matrix
Transcribed Image Text:Let T:M_2 -> M_2 be the linear transformation given by a b 0 1 a b T с d c d 1 1 Find the matrix of this transformation T in basis of matrix units 1 0 0 1 0 0 0 0 M_2 = < 0 0 0 0 1 0 0 1 Write the 2-3 entry of the matrix
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