Given the determinants of the following matrices: 40 6 -4 6 2 40 -4 6 2 6 -4 2 6 -4 40 2 6. 40 6. 6 -2 4 30 -2 4 6 -2 4 2 6 -2 30 30 det 49 2 =8, det 3 2 =-16, det 30 =-4, det =0, det 4 =20 10 -3 6 49 -3 6 3 10 -3 3 10 -3 49 3 10 49 -60 -6 8 -9 |-2 -60 8 -9 -2 -6 8 -9 -2 -6 8 -60 -2 -6 -60 -9 Find the (unique) solution to the following system: 2x1+6x2-4x3+6x4 = 40 2x1+6x2-2x3+4x4 = 30 3x1+10x2-3x3+6x4 = 49 -2x1-6x2+8x3-9x4 = -60 X=

Algebra and Trigonometry (6th Edition)
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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:
40
40
6 -4 6
-4 6
2
6 -4 6
6 -4 40
2
40
30
6 -2 4
30
-2 4
6.
30
2
:-16, det
6 -2 4
6 -2 30
2
=0, det
4
= 20
6.
|
det
49
=8, det|
-4, det
3
10 -3 6
49
-3 6
3 10 -3 6
10 -3 49
3 10
49
-60 –6 8 -9
-2 -60 8 -9
-2 -6 8 -9
-2 -6 8 –60
-2 -6 -60 -9
Find the (unique) solution to the following system:
2x1+6x2-4x3+6x4 = 40
2x1+6x2-2x3+4x4 = 30
3x1+10x2-3x3+6x4 = 49
-2x1-6x2+8x3-9x4
-60
X=
Transcribed Image Text:Given the determinants of the following matrices: 40 40 6 -4 6 -4 6 2 6 -4 6 6 -4 40 2 40 30 6 -2 4 30 -2 4 6. 30 2 :-16, det 6 -2 4 6 -2 30 2 =0, det 4 = 20 6. | det 49 =8, det| -4, det 3 10 -3 6 49 -3 6 3 10 -3 6 10 -3 49 3 10 49 -60 –6 8 -9 -2 -60 8 -9 -2 -6 8 -9 -2 -6 8 –60 -2 -6 -60 -9 Find the (unique) solution to the following system: 2x1+6x2-4x3+6x4 = 40 2x1+6x2-2x3+4x4 = 30 3x1+10x2-3x3+6x4 = 49 -2x1-6x2+8x3-9x4 -60 X=
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