131k views
5 votes
A system of equations is said to beinconsistentif the system has no solution. Show by usingthe pivot operation that the following system is inconsistent. Is the system equivalent to asystem in canonical form?

x1 + x2 - 3x3= 7
-2x1 + x2 +5x3 = 2
3x2 - x3 = 15

User Stephenie
by
3.8k points

1 Answer

2 votes

Answer:

The system is inconsistent

Explanation:

Given the matrix system solutions in the attachment, we can see that the coefficient of the matrix rank has become zero. This shows that it has no solution.

A system of equations is said to beinconsistentif the system has no solution. Show-example-1
User Vvolkov
by
3.2k points