College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 86E
Related questions
Question
100%
![Q1. Use Gaussian elimination to solve the system of linear equations:
х1 - 2х2 - 6х3
=
10
2x₁ + 3x₂ + 12x₂ = -12
2x₁ - 4x₂
12x3
20
Q2. Solve the system equations using Cramer's Rule.
3x-2y+z=9
x+2y-2z = -5
x+y=4z=-2
Q3. If A
=
[2
4
=
4
41
2 4 show that A² -8A - 201=0 where 1,0 are the unit matrix and
4 4 2
the null matrix of order 3 respectively. Use this result to find A-¹.
Q4. Find the inverse of the A matrix using Gauss-Jordan elimination method.
[35 7
-1
4
A = 1 2
L2 6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09aab593-10ab-4003-adbd-24801e257538%2F94c4f188-c4da-4964-8860-0f83073f2f2c%2Foek4l6w_processed.png&w=3840&q=75)
Transcribed Image Text:Q1. Use Gaussian elimination to solve the system of linear equations:
х1 - 2х2 - 6х3
=
10
2x₁ + 3x₂ + 12x₂ = -12
2x₁ - 4x₂
12x3
20
Q2. Solve the system equations using Cramer's Rule.
3x-2y+z=9
x+2y-2z = -5
x+y=4z=-2
Q3. If A
=
[2
4
=
4
41
2 4 show that A² -8A - 201=0 where 1,0 are the unit matrix and
4 4 2
the null matrix of order 3 respectively. Use this result to find A-¹.
Q4. Find the inverse of the A matrix using Gauss-Jordan elimination method.
[35 7
-1
4
A = 1 2
L2 6
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