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Q1. Use Gaussian elimination to solve the system of linear equations: X1 2x2 6x3 10 2x₁ + 3x₂ + 12x3 -12 2x₁ - 4x₂ 12x3 20 = = =

Q1. Use Gaussian elimination to solve the system of linear equations: X1 2x2 6x3 10 2x₁ + 3x₂ + 12x3 -12 2x₁ - 4x₂ 12x3 20 = = =

Algebra and Trigonometry (6th Edition)
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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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
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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