We will discuss the general description of the course, its
goals and objectives, the syllabus,
the textbook, as signments , quizzes, tests, course grade, and various sundry
Systems of linear equations. After discussing the course in general,
we’ll move on the
subject matter. We’re starting out with something you already know, systems of
equations. You’ve looked at these before in various algebra classes, so this is
really a summary .
There are many ways to solve such a system, but we’ll concentrate on a
It’s a standard algorithm that’s been rediscovered over and over. For this
matrix of numbers is formed from the system of linear equations . For the time
word “matrix” just means a rectangular array of numbers. As we addoperations on
(“matrices” is the plural of “matrix”), the concept of matrix will mean more
than just a
Once the matrix of numbers is formed from the system of linear equations, we
it’s converted into what ’s called “echelon form,” and converted further into
called “ reduced echelon form.” From that, the solution can be read directly off
Matlab. We’ll use Matlab to illustrate topics in linear algebra. It’s available
Our text discusses Matlab in Chapter 12. Read the first
couple of sections for an introduction.
Be low is a short Matlab session to solve the following
system of linear equations.
In the session, a matrix A is created that holds the
coefficients , and a column vector b holds
the constants. The solution is computed with the instruction x = A\b which says
is (x, y, z) = (1, 2,−2).
Due Wednesday. Exercises from section 1.1, page 8,
numbers 1–4, 13–14, 21–22, 23, and
Read for Wednesday sections 1.1 on linear systems and 1.2 on matrices.
Due Friday. Exercises from section 1.2: 1–2, 4–7 parts a–d each, 8, 9, T1,
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