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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...
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 Spring '14
 KenyonJ.Platt
 Linear Algebra, Algebra, Equations, Matrices

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