a) b) 4х + 5y = 7x1– 2x2= 3 3x1+ x2=5 11х + у+2z—3 х+5у + 2z%31

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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3. Solve the following systems of equations using Cramer's rule when possible (check first that
the determinant of the coefficient matrix is not-zero!)
a)
b)
c)
4
4x +
5y =2 X1– 3x2+ x3=
7x1 – 2x2 = 3
3x1 + x2=5
11x + y+ 2z =3 2x1- x2
x + 5y + 2z= 1
= -2
4x1
- 3x3= 0
Transcribed Image Text:3. Solve the following systems of equations using Cramer's rule when possible (check first that the determinant of the coefficient matrix is not-zero!) a) b) c) 4 4x + 5y =2 X1– 3x2+ x3= 7x1 – 2x2 = 3 3x1 + x2=5 11x + y+ 2z =3 2x1- x2 x + 5y + 2z= 1 = -2 4x1 - 3x3= 0
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