Given the determinants of the following matrices: 3 -3 39 -9 3 39 -6 -9 1 1 3 -1 1 3 2 -1 1 0 26 -6 1 -2 22 -5 1 22 -3 -5 Find the (unique) solution to the following system: det 3x₁-3x2-6x3-9x4 = 39 x₁+x2+2x3 x4 = 3 X1+2x3-6x4 = 26 x1-2x2-3x3-5x4 = 22 X= o o o o =-12, det 0 1 26 2-6 =24, det 3 -3 -6 -9 1 1 2 -1 102-6 1 -2 -3 -5 =12, det 39 -3 -6 -9 3 1 2 -1 26 0 2-6 22 -2 -3 -5 -24, det 3 -3 -6 39 1 1 23 10 2 26 1 -2 -3 22 =-60

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Given the determinants of the following matrices:
3 -3 39 -9
3 39 -6 -9
1 1 3 -1
1 3 2 -1
1 0 26 -6
det
1 26 2-6
1 -2 22 -5
1 22 -3 -5
Find the (unique) solution to the following system:
3x2-3x2-6x3-9x4 = 39
x₁+x2+2x3 x4 = 3
X1+2x3-6x4 = 26
x₁-2x2-3x3-5x4 = 22
X=
=-12, det
O
оооо
=24, det
3 -3 -6 -9
1
1 2 -1
102-6
1 -2 -3 -5
12, det
39 -3 -6 -9
3 1
2 -1
26 0
2 -6
22 -2 -3 -5
=-24, det
3 -3 -6 39
2 3
1 1
10
2 26
1 -2 -3 22
=-60
Transcribed Image Text:Given the determinants of the following matrices: 3 -3 39 -9 3 39 -6 -9 1 1 3 -1 1 3 2 -1 1 0 26 -6 det 1 26 2-6 1 -2 22 -5 1 22 -3 -5 Find the (unique) solution to the following system: 3x2-3x2-6x3-9x4 = 39 x₁+x2+2x3 x4 = 3 X1+2x3-6x4 = 26 x₁-2x2-3x3-5x4 = 22 X= =-12, det O оооо =24, det 3 -3 -6 -9 1 1 2 -1 102-6 1 -2 -3 -5 12, det 39 -3 -6 -9 3 1 2 -1 26 0 2 -6 22 -2 -3 -5 =-24, det 3 -3 -6 39 2 3 1 1 10 2 26 1 -2 -3 22 =-60
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