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text is Linear Algebra: An Introductory Approach [5] by Charles W. Curits. And for those more interested in applications both Elementary Linear Algebra: Applications Version [1] by Howard Anton and Chris Rorres and Linear Algebra and its Applications [10] by Gilbert Strang are loaded with applications.
FUNDAMENTALS OF LINEAR ALGEBRA James B. Carrell carrell@math.ubc.ca (July, 2005)
A linear function is a function of the form f ( x ) = ax + b . The graph of a linear equation is a graphical view of the set of all points that make the equation true. The graph of any linear function is a straight line. A linear function can be represented in two ways, standard form and slope-intercept form.
This booklet contains the worksheets for Math 54, U.C. Berkeley’s linear algebra course. The introduction to each worksheet very briefly motivates the main ideas but is not intended as a substitute for the textbooks or lectures.
Linear Algebra Worksheet 1.Recall that a function f(v) of a vector v is linear if f( v) = f(v) and f(v + w) = f(v) + f(w):For each of the following functions, (a) state whether or not the function is linear, and (b) if the function is
Solve linear equations using addition and subtraction. Solve linear equations using multiplication and division. Use linear equations to solve real-life problems.
In the reduced echelon form it's clear that the rst three columns are linearly independent. (This is clear from the original matrix, too, because the rst three columns form an upper triangular matrix with nonzero entries down the diagonal.) The rst three variables are pivotal, and the last is free.
