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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 53RE

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Question

I don't understand how to solve this question. Can you provide an explanation and solution. Thank you!

(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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