Given the determinants of the following matrices: 1 3 -3 2 1 3 3 -3 -12 10 -8 -3 -9 -12 2 5 -6 5 26 2 15 -8 2 2 7 15 2 Find the (unique) solution to the following system: det x+3x2-3x3+2x4 = 3 -3x7-9x2+10x3-8x4 = -12 2x+6x2-6x3+5x4 = 5 2x1+7x2-8x3+2x4 = 15 X= =-3, det 0 5 2010 d 2 -8 5 =-5, det 1 3-3 2 -3 -9 10-8 26-65 2 7-8 2 =1, det 1 3 -3 3 -3 -9 10-12 26-65 2 7 -8 15 =-1, det 3 -3 2 -12 -9 10-8 3755 6-65 15 7-8 2 =-1

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,...
icon
Related questions
Question

Given the determinants of the following matrices:
1
3 -3 2
3
-3 -12 10 -8
-9 -12 -8
5-65
2
6
2 15 -8 2
2
7
Find the (unique) solution to the following system:
det
32
x+3x2-3x3+2x4 = 3
-3x7-9x2+10x3-8x4 = -12
2x2+6x2-6x3+5x4 = 5
2x7+7x2-8x3+2x4 = 15
X=
0
=-3, det
0
1
-3
3
5
15
28102
5
=-5, det
1 3 -3 2
-3 -9 10-8
26-65
27-82
1, det
1
3 -3 3
-3 -9 10-12
2
6 -6 5
2
7 -8 15
=-1, det
310
3 -3 2
-12 -9 10-8
5
6-65
15 7 -8 2
=-1
Transcribed Image Text:Given the determinants of the following matrices: 1 3 -3 2 3 -3 -12 10 -8 -9 -12 -8 5-65 2 6 2 15 -8 2 2 7 Find the (unique) solution to the following system: det 32 x+3x2-3x3+2x4 = 3 -3x7-9x2+10x3-8x4 = -12 2x2+6x2-6x3+5x4 = 5 2x7+7x2-8x3+2x4 = 15 X= 0 =-3, det 0 1 -3 3 5 15 28102 5 =-5, det 1 3 -3 2 -3 -9 10-8 26-65 27-82 1, det 1 3 -3 3 -3 -9 10-12 2 6 -6 5 2 7 -8 15 =-1, det 310 3 -3 2 -12 -9 10-8 5 6-65 15 7 -8 2 =-1
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education