# 6: Linear Maps - Mathematics

As discussed in Chapter 1, one of the main goals of Linear Algebra is the characterization of solutions to a system of (m ) linear equations in (n ) unknowns ( x_1, ldots, x_n ),

[ egin{equation*}
left.
egin{array}{rl}
a_{11} x_1 + cdots + a_{1n} x_n &= b_1