Math Chapter 8 Vocab
matrix Correct Answer: A rectangular array of real numbers that can be used to solve a system of linear
equations is called a ___.
square Correct Answer: A matrix is ___ if the number of rows equals the number of columns.
main diagonal Correct Answer: For a square matrix, the entries a11, a22, a33,...anm are the ___ ___
entries.
row; column Correct Answer: A matrix with only one row is called a ___ matrix and a matrix with only
one column is called a ___ matrix.
augmented Correct Answer: The matrix derived from a system of linear equations is called the ___
matrix of the system.
coefficient Correct Answer: The matrix derived from the coefficients of a system of linear equations is
called the ___ matrix of the system.
row-equivalent Correct Answer: Two matrices are called ___ if one of the matrices can be obtained
from the other by a sequence of elementary row operations.
reduced row-echelon form Correct Answer: A matrix in row-echelon form is in ___ ___ ___ if every
column that has a leading 1 has zeros in every position above and below its leading 1.
Gauss-Jordan elimination Correct Answer: The process of using row operations to write a matrix in
reduced row-echelon form is called ___ ___.
equal Correct Answer: Two matrices are ___ if all of their corresponding entries are equal.
scalars Correct Answer: When performing matrix operations, real numbers are often referred to as ___.
zero; 0 Correct Answer: A matrix consisting entirely of zeros is called a ___ matrix and is denoted by
___.
identity Correct Answer: The nxn matrix consisting of 1's on its main diagonal and 0's elsewhere is called
the ___ matrix of order n.
square Correct Answer: In a ___ matrix, the number of rows equals the number of columns.
inverse Correct Answer: If there exists an nxn matrix A-1 such that AA-1=In=A-1A, then A-1 is called the
___ of A.
nonsingular; singular Correct Answer: If a matrix A has an inverse, it is called invertible or ___; if it does
not have an inverse, it is called ___.
matrix Correct Answer: A rectangular array of real numbers that can be used to solve a system of linear
equations is called a ___.
square Correct Answer: A matrix is ___ if the number of rows equals the number of columns.
main diagonal Correct Answer: For a square matrix, the entries a11, a22, a33,...anm are the ___ ___
entries.
row; column Correct Answer: A matrix with only one row is called a ___ matrix and a matrix with only
one column is called a ___ matrix.
augmented Correct Answer: The matrix derived from a system of linear equations is called the ___
matrix of the system.
coefficient Correct Answer: The matrix derived from the coefficients of a system of linear equations is
called the ___ matrix of the system.
row-equivalent Correct Answer: Two matrices are called ___ if one of the matrices can be obtained
from the other by a sequence of elementary row operations.
reduced row-echelon form Correct Answer: A matrix in row-echelon form is in ___ ___ ___ if every
column that has a leading 1 has zeros in every position above and below its leading 1.
Gauss-Jordan elimination Correct Answer: The process of using row operations to write a matrix in
reduced row-echelon form is called ___ ___.
equal Correct Answer: Two matrices are ___ if all of their corresponding entries are equal.
scalars Correct Answer: When performing matrix operations, real numbers are often referred to as ___.
zero; 0 Correct Answer: A matrix consisting entirely of zeros is called a ___ matrix and is denoted by
___.
identity Correct Answer: The nxn matrix consisting of 1's on its main diagonal and 0's elsewhere is called
the ___ matrix of order n.
square Correct Answer: In a ___ matrix, the number of rows equals the number of columns.
inverse Correct Answer: If there exists an nxn matrix A-1 such that AA-1=In=A-1A, then A-1 is called the
___ of A.
nonsingular; singular Correct Answer: If a matrix A has an inverse, it is called invertible or ___; if it does
not have an inverse, it is called ___.
