Question 2 (i) Find the determinant of the matrix 1 4 -3 6. -4 (ii) Test the constituency of the following system of the equation using the Gaussian elimination method X1 + 10x2 – x3 = 3 2x1 + 3x2 + 20x3 = 7 9x1 + 22x2 + 79x3 = 45

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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Question 2
(i)
Find the determinant of the matrix
1
4
-3
6.
-4
(ii)
Test the constituency of the following system of the equation using the Gaussian elimination method
X1 + 10x2 – x3 = 3
2x1 + 3x2 + 20x3 = 7
9x1 + 22x2 + 79x3 = 45
Transcribed Image Text:Question 2 (i) Find the determinant of the matrix 1 4 -3 6. -4 (ii) Test the constituency of the following system of the equation using the Gaussian elimination method X1 + 10x2 – x3 = 3 2x1 + 3x2 + 20x3 = 7 9x1 + 22x2 + 79x3 = 45
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