MAT 260 Linear Algebra-Fall 2012
Worksheet 1 - Review
1. Solve the linear system
x + y=4
3x + 3y = 6
2. Solve the linear system
4x - 2y = 1
16x - 8y = 4
3. Solve the linear system
x + y + 2z = 9
2x +
Chapter 2
Determinants by Cofactor Expansion
Evaluating Determinants by Row Reduction
Properties of the Determinants, Cramers Rule
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1
Minor and Cofactor
a b
Let A be a 2x2 matrix A =
c d
Th
1.5 Elementary Matrices and a Method for Finding A1
An elementary row operation on a matrix A is any one of the following three
types of operations:
Interchange of two rows of A.
Replacement of a ro
1.4 Inverses; Rules of Matrix Arithmetic
For real numbers a and b ,we always have ab = ba, which is called the
commutative law for multiplication. For matrices, however, AB and
BA need not be equal.
E
Chapter 1 Systems of Linear Equations and Matrices
Introduction to System of Linear Equations
Gaussian Elimination
Matrices and Matrix Operations
Inverses; Rules of Matrix Arithmetic
Elementary Ma
1.3 Matrices and Matrix Operations.
A matrix is a rectangular array of numbers. The numbers in the arry are called the
Entries in the matrix.
The size of a matrix is described in terms of number of ro