Question

If one row in an echelon form of an augmented matrix is left bracket Start 1 By 5 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 5 5st Column 0 EndMatrix right bracket 0 0 0 5 0 ​, then the associated linear system is inconsistent.Is this statement true or​ false?

Answer 1

Inconsistent - TRUE

Explanation:

A system of linear equation is said to be inconsistent if it has no solution. that is from the graph, the lines does not intersect compared to a consistent equations that has solutions and intersect on the graph.

From the written augmented matrix = ( 0)

( 0)

( 0)

( 5)

( 0)

from the second row of the matrix, it is evident that it has no solutions hence INCOSISTENT