or space of all (2 × 2)-matrices. The trace tr( al elements, i.e. the base b tr (ad). =a+d. 0 ₂ - (6₂). ( ). G b= 0¹1
or space of all (2 × 2)-matrices. The trace tr( al elements, i.e. the base b tr (ad). =a+d. 0 ₂ - (6₂). ( ). G b= 0¹1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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kindly answer it
Transcribed Image Text:Let V be the vector space of all (2 × 2)-matrices. The trace tr(A) E R of a matrix A E V is the
sum of the diagonal elements, i.e.
Show that the base
tr
=a+d.
b=
- (6)· ( ) ( ) ( ))
"
7
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