`A=[(a,1,0),(1,b,d),(1,b,c)],B=[(a,1,1),(0,d,c),(f,g,h)],U=[(f),(g),(h)],V=[(a^2),(0),(0)]` If there is a vector matrix X, such that `AX = U` has infinitely many solutions, then prove that `BX = V` cannot have a unique solution. If `a f d != 0`. Then,prove that `BX = V` has no solution.

A = [{:( a,0,1),(1,c,b),( 1,d,b) :}]B=[{:( a,1,1),(0,d,c),(t,g,h):}]U=[{:(f),(g),(h):}]V=[{:(a^(2)),(0),( 0) :}] if there is vector matrix X . Such that AX= U has infinitely many solutions ,then prove that BX = V cannot have a unique solutions , If afd ne 0 then prove that BX= V has no solutions

If the system of equation x+ay=0,az+y=0 and ax+z=0 has infinite solutions,then the value of a is -1 b.1 c.0 d.no real values

If the system of equations x+ay=0,az+y=0 and ax+z=0 has infinite solutions,then the value of a is -1 (b) 1( c) 0 (d) no real values

If the system of equations x+ay=0,az+y=0, and ax+z=0 has infinite solutions,then the value of equation has no solution is -3 b.1 c.0 d.3

The pair of equations 2x-5y+4=0 and 2x+y-8=0 has (a) a unique solution (c) infinitely many solutions (b) exactly two solutions (d) no solution