5.4 Matrix Algebra
Some Matrix Terminology
In addition to the terms discussed previously regarding matrices, the following terms will
be important in the coming material.
m by n matrix
An m by n matrix is a matrix that has m rows and n columns.
equivalent
5.6 (5.7) Systems of Linear Inequalities; Linear Programming
Systems of Inequalities
Linear Inequalities
We have previously worked on solving linear inequalities in one variable. In this section, we
work on solving linear inequalities in two variables. Li
R.6 Synthetic Division
Synthetic Division
Synthetic division is a quick way to divide a polynomial by a linear factor. It basically is
set up to remove a lot of the redundancy of polynomial division. We only deal with the
coefficients, but we use position
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1.5 Radical Equations; Equations Quadratic in Form;
Absolute Value Equations; Factorable Equations
Equations Containing Radicals
When an equation has a variable inside a radical (i.e. in the radicand) such as a square
root, cube root, or fourth root, we s
1.4 Complex Numbers; Quadratic Equations in the
Complex Number System
Up to this point, we have looked at finding real solutions to equations. However, not
every equation has real solutions. For example, the equation x 2 + 1 = 0 has no real
solution. Ther
1.7 Solving Inequalities
So far we have seen different ways to solve equations. Many applications in real life are
not restricted to single solutions or even a small set of solutions. Some applications are
constrained by some maximum or minimum value, but
1.6 Problem Solving; Interest, Mixture, Uniform Motion,
Constant Rate Jobs
Applied problems (a.k.a. word problems) often strike fear into math students. The phrase,
I hate word problems! is heard quite often. However, this seemingly inherent hatred (or
fe