True and false selection: System of linear equations

Dec 2014
6
0
florida
My professor assigned some true and false questions to prepare for the midterm coming up and didn't give us an answer key, so I don't know if I am approaching this true and false questions correctly, they are:

c) A system of three linear equations with six unknowns cannot have a unique solution.[TRUE/FALSE]
d) A system of six linear equations with 3 unknowns cannot have more than 1 solution.[TRUE/FALSE]
e) The system of two equations + √3 = 1 and + √3 = 0 is a linear system.[TRUE/FALSE]
f) A linear system of the form Ax = 0 containing eight equations and ten unknowns hasinfinitely many solutions. [TRUE/FALSE]
g) Every linear system of the form Ax = 0 has at least 1 solution. [TRUE/FALSE]



could anyone help me to understand these questions?
 

chiro

MHF Helper
Sep 2012
6,608
1,263
Australia
Hey chakana101.

Can you please show us an attempt (partial is ok if you can't do full) please?