Chapter 1.2 MatrixAlgebra

Denition two matrices a aij and b bij are equal if

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: matrices A = [aij ] and B = [bij ] are equal if and only if they are the same size and aij = bij for each i and j . Outline Matrices Matrix Algebra Matrix Equations Trace and Transpose Special Matrices A matrix with n rows and n columns is called a square matrix. A matrix with only one row is a row vector. A matrix with only one column is called a column vector. Row and column vectors are usually denoted by a lowercase boldface letter. The entries a11 , a22 , . . . , ann in a square matrix are called the diagonal entries. Sometimes this is called the main diagonal to distinguish it from the other diagonal in the matrix. A matrix whose only nonzero entries lie on the diagonal is called a diagonal matrix. A matrix consisting only of zero entries is called a zero matrix. A scalar is a real number. Outline Matrices Matrix Algebra Matrix Equations Trace and Transpose Examples Discuss the following matrices. 1 2 3 4 −1 −3 −4...
View Full Document

Ask a homework question - tutors are online