The first step in a linear algebra course is to codify the method that you use in middle/high school to solve systems of equations of the form a00x0+a01x1+...=b0....
That algorithm sets the stage for everything. The pace is natural, the math is accessible, no geometric interpretation is ever required, and it's built for problems that people of even average intelligence can understand. Frankly, it's astonishing we don't teach it in high school.
The first step in a linear algebra course is to codify the method that you use in middle/high school to solve systems of equations of the form a00x0+a01x1+...=b0....
That algorithm sets the stage for everything. The pace is natural, the math is accessible, no geometric interpretation is ever required, and it's built for problems that people of even average intelligence can understand. Frankly, it's astonishing we don't teach it in high school.