Solving Linear Algebra
Linear algebra provides a way of compactly representing and operating on sets of linear
equations. For example, consider the following system of equations:
4 1 5 2 = 13
2 1 + 3 2 = 9
Last edited by jaivinder; 12th July 2016 at 03:22 PM.
Basic Concepts and Notation
This is two equations and two variables, so as you know from high school algebra, you
can nd a unique solution for 1 and 2 (unless the equations are somehow degenerate, for
example if the second equation is simply a multiple of the rst, but in the case above there
is in fact a unique solution). In matrix notation, we can write the system more compactly
= 4 5
2 3 = 13
As we will see shortly, there are many advantages (including the obvious space savings)
to analyzing linear equations in this form.
Last edited by jaivinder; 12th July 2016 at 08:52 PM.
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