Consistent and inconsistent for the system of linear equations part-7 by Rahimuddin Sheikh
Ex: Show that the equations
-2x+y+z=a
x- 2 y+z=b
x+y-2z=c
have no solution unless a+b+c=0. In which case they have infinitely many solutions? Find these solutions when a=1,b=1 and c= -2
Ex: Find for what values of k the set of equations
2 x- 3 y+6 z -5t=3
y- 4 z+t=1
4 x -5y+8z-9 t=k
has (i) no solution (ii) infinite number of solutions
#concepts #consistency# #consistent # inconsistent#math#education # maths for engineering #maths for B.Sc.#rank in Echelon form #rank #basic matrix #matrix concepts # rank in normal form #solve the system of linear equations in Matrix form
#consistent and inconsistent,#consistent and inconsistent equations,#consistent and inconsistent system of equations,#consistency and inconsistency of matrix for system of linear equation,#consistent and inconsistent of liner equations,#consistency and inconsistency of matrix,#consistency and inconsistency,#consistent and inconsistent system of equations example - 1,#test for consistency in matrices,#conditions for consistent and inconsistent systems,consistent