# Chapter 12

# Matrix Representation of Linear Algebraic Equations

### Contents

Key Terms

linear algebraic equation

symbolic mathematics

matrix equality

square matrix

main diagonal

diagonal matrix

trace

identity matrix

banded matrix

tridiagonal matrix

lower triangular matrix

upper triangular matrix

symmetric matrix

array operations

matrix addition

matrix subtraction

scalar multiplication

array multiplication

matrix multiplication

inner dimensions

outer dimensions

matrix inverse

matrix augmentation

dot product

cross product or outer product

coefficients

unknowns

solution set

method of substitution

determinant

Gauss elimination

Gauss-Jordan elimination

elementary ...

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