Perform one step of row reduction, in order to calculate the values for x and y by back substitution. Then calculate the values for x and for y. Also, calculate the determinant of the original matrix.
Perform one step of row reduction, in order to calculate the values for x and y by back substitution. Then calculate the values for x and for y. Also, calculate the determinant of the original matrix.
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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Perform one step of row reduction, in order to calculate the values for x and y by back substitution. Then calculate the values for x and for y. Also, calculate the determinant of the original matrix.
![(Note: since the determinant is unchanged by row reduction it will be easier to calculate the determinant of the row reduced matrix.)
[3+3′ 5-4] [x] - [36+30]
4i X
20i
=
4 2i
4+i
9 3i
X =
y =
det
3 + 3i
=
0
5 - 4i
X
ICH
||
36 + 20i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce6b922d-a9d5-4170-acac-947c1495a450%2F8afd778e-8aac-4c33-a639-d00d2f7352a6%2F0aoxyyq_processed.png&w=3840&q=75)
Transcribed Image Text:(Note: since the determinant is unchanged by row reduction it will be easier to calculate the determinant of the row reduced matrix.)
[3+3′ 5-4] [x] - [36+30]
4i X
20i
=
4 2i
4+i
9 3i
X =
y =
det
3 + 3i
=
0
5 - 4i
X
ICH
||
36 + 20i
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