Linear Algebraic Equations

Question 1

It consists of a rectangular array of elements represented by a single symbol

Answer 1

Matrix

Question 2

horizontal set of elements

Answer 2

Row

Question 3

Vertical set of elements

Answer 3

Column

Question 4

a23

Answer 4

element a is in row 2 column 3

Question 5

Matrices where n = m

Answer 5

Square Matrices

Question 6

The diagonal in the matrix

Answer 6

Principal or main diagonal of the matrix

Question 7

one where aij = aji for all i’s and j’s

Answer 7

symmetric matrix

Question 8

a square matrix where all elements off the
main diagonal are equal to zero

Answer 8

diagonal matrix

Question 9

is a diagonal matrix where all elements on
the main diagonal are equal to 1

Answer 9

identity matrix

Question 10

one where all the elements below
the main diagonal are zero

Answer 10

upper triangular matrix

Question 11

is one where all elements above the
main diagonal are zero

Answer 11

lower triangular matrix

Question 12

has all elements equal to zero, with the exception of a band centered on the main diagonal

Answer 12

banded matrix

Question 13

matrix has a bandwidth of 3

Answer 13

Tridiagonal matrix

Question 14

two lines are coincident

Answer 14

Singular

Question 15

Systems that are very close to being singular

Answer 15

Ill-conditioned