Number 6 (b and d only!)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Section 2.5: Number 6 (b and d only!)

 

6. For each matrix A and ordered basis ẞ, find [LA]. Also, find an invert-
ible matrix Q such that [LA]B=Q¯¹AQ.
2
1 3
(a) A
=
and
B=
1 1
{(f)-(e)}
1
2
(b) A =
=
and
B =
2
1
(c) A=
=
(d) A=
{G})·(-})}
(11) - - (0·0·0)}
2
0
and
β
=
0
13
1 4
1
13
4
and
β
4
4 10
=
2
{(\)·(9)·()}
Transcribed Image Text:6. For each matrix A and ordered basis ẞ, find [LA]. Also, find an invert- ible matrix Q such that [LA]B=Q¯¹AQ. 2 1 3 (a) A = and B= 1 1 {(f)-(e)} 1 2 (b) A = = and B = 2 1 (c) A= = (d) A= {G})·(-})} (11) - - (0·0·0)} 2 0 and β = 0 13 1 4 1 13 4 and β 4 4 10 = 2 {(\)·(9)·()}
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