Outline
Linear Systems
Matrices
Gaussian Elimination
Solving Linear Systems of Equations
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Homogeneous Systems
Outline
Linear Systems
Matrices
Outline
1
Linear Systems
Linear Eq
Outline
Number of Solutions
Solving Multiple Systems
More Results On the Inverse
Inverses and Linear Systems of Equations
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Outline
Number of Solutions
Solving Multiple Systems
Outline
Identity Matrices
The Inverse of a Matrix
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Inverse of a Matrix
Outline
Identity Matrices
Outline
1
Identity Matrices
2
Inverse of a Matrix
The Inverse of a Matrix
Inver
Outline
Elementary Matrix
Inverse of an Elementary Matrix
Elementary Matrices
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
The Inverse of a Matrix
Outline
Elementary Matrix
Inverse of an Elementary Matrix
Outline
1
Eleme
Outline
Matrices
Matrix Algebra
Matrix Equations
Matrix Algebra
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Trace and Transpose
Outline
Matrices
Matrix Algebra
Matrix Equations
Trace and Transpose
Outline
1
Matrices
2
M
Outline
Diagonal Matrices
Triangular Matrices
Special Matrices
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Symmetric Matrices
Outline
Diagonal Matrices
Outline
1
Diagonal Matrices
2
Triangular Matrices
3
Symmetric Matri
The Determinant of a Matrix
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Outline
The Determinant of a 2 2 Matrix
Denition
If A is the 2 2 matrix
A=
ab
cd
then the determinant of A to is the number det A or |A| dened by:
Outline
Vector Quantities
Combining Vectors
Vectors in the Plane
Geometric Vectors
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Vectors in Space
The Norm
Outline
Vector Quantities
Combining Vectors
Vectors in the Plane
O
Outline
The Classical Adjoint
A Formula for the Inverse of a Matrix
Cramers Rule
Applications of the Determinant
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Eigenvalues
Outline
The Classical Adjoint
A Formula for the In
Outline
Linearity of the Determinant
Determinants and Invertibility
Determinants and Products
Properties of the Determinant
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Determinants and Inverses
Outline
Linearity of the
Outline Determinants of Special Matrices Determinants Via Elementary Row Operations Determinant of an Elementary Matrix
Computing the Determinant Via Row Reduction
Math 2270
K. J. Platt, Ph.D.
Department of Mathematics
Snow College
Spring 2014
Outline Det