Module 1: Properties and Fundamental Operation of Matrices

Question 1

is a rectangular array of elements (either numbers or symbols), which are arranged in orderly
rows and columns.

Answer 1

Matrix ( plural, Matrices)

Question 2

The size of a matrix is specified by the number of 1.____ times the number of 2._______.

Answer 2

1. rows
2. columns

Question 3

are generally identified by a double subscripted lowercase letter

Answer 3

Elements of a matrix

Question 4

Elements of a matrix are generally identified by a double subscripted lowercase letter, for example, Aij, where the first subscript “i” identifies the 1.___ of the matrix and the second subscript “j” identifies the 2. ______ of the matrix.

Answer 4

1. row
2. column

Question 5

is a matrix which has the same number of rows and columns, that is, m = n.

Answer 5

Square matrix, “S”

Question 6

is a square matrix with all elements equal to zero except the elements on the major diagonal.

Answer 6

Diagonal matrix, “D”

Question 7

is a diagonal matrix with unity diagonal elements.

Answer 7

Identity matrix, “I”

Question 8

is the matrix equivalent of the scalar number unity.

Answer 8

Identity matrix, “I”

Question 9

is a square matrix for which all elements on the main diagonal are equal.

Answer 9

Scalar matrix

Question 10

is a square matrix wherein the elements about its main diagonal has similarities with their relative position

Answer 10

Symmetric matrix

Question 11

a matrix wherein all its elements are zero

Answer 11

Zero or Null matrix, “O”

Question 12

are a special type of matrix which has only one column or one row.

Answer 12

Vectors

Question 13

a square matrix in which all the elements on one side of the major diagonal are zero.

Answer 13

Triangular matrix

Question 14

is a square matrix in which all the elements are not on the major diagonal and the two diagonals surrounding the major diagonal are zero.

Answer 14

Tridiagonal matrix, “T”

Question 15

has all zero elements except along particular diagonals.

Answer 15

Banded matrix, “B”

Question 16

consists of matrix addition, matrix subtraction, and matrix multiplication. Matrix division is not defined. An
analogous operation is accomplished using the matrix inverse.

Answer 16

Matrix Algebra

Question 17

is one in which most of the elements are zero.

Answer 17

Sparse matrix