MATH 2164 - Exam # 1 Study Guide
You should know all the definitions. To "know" a definition means you should be able to state it and also know what it means. What I list below in bold is especially important (hint hint.) Section 1.1: linear equation, lin
Invariance of the Solution Set of a Linear System Under Elementary Row Operations
Suppose we have the following linear system of m equations in n variables. c11 x1 + c12 x2 + + c1n xn = d1 c21 x1 + c22 x2 + + c2n xn = d2 . cm1 x1 + cm2 x2 + + cmn xn = dm
Short Answer: If f (x) = x, its inverse (under the operation of function composition) is just itself, i.e. f -1 (x) = x. Why? Because f (f -1 (x) = f (x) = x and f -1 (f (x) = f -1 (x) = x. A more substantive example is better, such as the function f : (0
MATH 2164 - Exam # 2 Study Guide
You should know all the definitions. To "know" a definition means you should be able to state it and also know what it means. What I list below in bold is especially important (hint hint.) All definitions from Sections 1.1
Today in class we discussed elementary matrices and the Gauss-Jordan algorithm for nding
A1 . Recall the denition: An elementary matrix E is any matrix that can be obtained
by performing a single row operation on the identity matrix. I gave a few examples
MATH 2164 - FINAL EXAM - Study Guide
You should know all the definitions. To "know" a definition means you should be able to state it and also know what it means. What I list below is especially important (hint hint.) SUMMARY OF BIG IDEAS FROM MATH 2164 (
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