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
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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
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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