1. Barnett/Ziegler/Byleen College Algebra, 7th Edition
Chapter Seven
Matrices & Determinants
Copyright © 2001 by the McGraw-Hill Companies, Inc.

2. MATRIX PRODUCT = = é ù ê ú ë û 1 3 [2 3 –1] 2 [2 3 –1] –1 2 1 3 2 2  3 é 1 3 ù é 2 3 –1 ù ê ú = ê ú 2 ë –2 1 2 û ë û –1 2 1 3
[2  3  –1] 2
[2  3  –1] –1 2 2  2 1 3 é = 9 4 ù ê ú ë –2 –2 û
[–2  1  2] 2
[–2  1  2] –1 2
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3. Inverse of a Square Matrix
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4. BASIC PROPERTIES OF MATRICES

5. BASIC PROPERTIES OF MATRICES

6. USING INVERSE METHODS TO SOLVE SYSTEMS OF EQUATIONS
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7. Value of a Third-Order Determinant
DEFINITION 2
Theorem 1
The value of a determinant of order 3 is the sum of three products
obtained by multiplying each element of any one row (or each element
of any one column) by its cofactor.
Expansion along the first row
Expansion along the first column
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8. Summary of Determinant Properties

9. Summary of Determinant Properties

10. Cramer's Rule for Three Equations
and Three Variables X= y= z=
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