Matrix Glossary Terms

Define Matrix

• A rectangular array of numbers set out in rows and columns

  within square brackets. The rows are horizontal; the columns are

  vertical.

• The number of rows × number of

  columns. The number of rows is always given first.

• The position of an

  element is given by its row and column in the matrix. Element ai j is in

  row i and column j. The row is always given first.

• A matrix can be used to record various types of connections, such as

  social communications and roads directly connecting towns.

Define Connections

• A rectangular array of numbers set out in rows and columns

  within square brackets. The rows are horizontal; the columns are

  vertical.

• The number of rows × number of

  columns. The number of rows is always given first.

• The position of an

  element is given by its row and column in the matrix. Element ai j is in

  row i and column j. The row is always given first.

• A matrix can be used to record various types of connections, such as

  social communications and roads directly connecting towns.

Define Elements of a Matrix

• A rectangular array of numbers set out in rows and columns

  within square brackets. The rows are horizontal; the columns are

  vertical.

• The number of rows × number of

  columns. The number of rows is always given first.

• The position of an

  element is given by its row and column in the matrix. Element ai j is in

  row i and column j. The row is always given first.

• A matrix can be used to record various types of connections, such as

  social communications and roads directly connecting towns.

Define Order of a Matrix

• A rectangular array of numbers set out in rows and columns

  within square brackets. The rows are horizontal; the columns are

  vertical.

• The number of rows × number of

  columns. The number of rows is always given first.

• The position of an

  element is given by its row and column in the matrix. Element ai j is in

  row i and column j. The row is always given first.

• A matrix can be used to record various types of connections, such as

  social communications and roads directly connecting towns.

Define Equal Matrices

• Two matrices have the same numbers in the same

  positions. They need to have the same order.

• any matrix with zeroes in every position

• Matrices of the same order can be added by adding numbers in the same

  positions.

• Matrices of the same order can be subtracted by subtracting numbers

  in the same positions.

Define Subtracting Matrices

• Two matrices have the same numbers in the same

  positions. They need to have the same order.

• any matrix with zeroes in every position

• Matrices of the same order can be added by adding numbers in the same

  positions.

• Matrices of the same order can be subtracted by subtracting numbers

  in the same positions.

Define Zero matrix

• Two matrices have the same numbers in the same

  positions. They need to have the same order.

• any matrix with zeroes in every position

• Matrices of the same order can be added by adding numbers in the same

  positions.

• Matrices of the same order can be subtracted by subtracting numbers

  in the same positions.

Define Adding Matrices

• Two matrices have the same numbers in the same

  positions. They need to have the same order.

• any matrix with zeroes in every position

• Matrices of the same order can be added by adding numbers in the same

  positions.

• Matrices of the same order can be subtracted by subtracting numbers

  in the same positions.

Define Scalar Multiplication

• a rectangular array of numbers set out in rows and columns

  within square brackets. The rows are horizontal; the columns are

  vertical.

• the multiplication of a matrix by a number,

  where each element of the matrix is multiplied by the number outside the brackets

• a matrix is the number of rows × number of

  columns. The number of rows is always given first.

• the process of multiplying a matrix by another

  matrix.

Define Matrix Multiplication

• a rectangular array of numbers set out in rows and columns

  within square brackets. The rows are horizontal; the columns are

  vertical.

• the multiplication of a matrix by a number,

  where each element of the matrix is multiplied by the number outside the brackets

• a matrix is the number of rows × number of

  columns. The number of rows is always given first.

• the process of multiplying a matrix by another

  matrix.