Question

system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?

Answer 1

can someone please help me

Answer 2

one solution exists

Answer 3

inconsistent system has no solution, dependent system has free variables and infinitely many solutions

Answer 4

\[\lfloor 0 ....|0 \rfloor infinite solns\]

Answer 5

\[\lfloor 0..... 1|1 \rfloor one solution\]

Answer 6

\[\lfloor 0......0|1 \rfloor no sol\]