MATH SOLVE

3 months ago

Q:
# What is the element a^23 in matrix A? A=8 -4 -3 3 -9 -5 -8 8 8

Accepted Solution

A:

8 -4 -3

3 -9 -5-8 8 8

This is a matrix of 3 rows and 3 columns (it's called square matrix because the number of rows = the number of columns)

To localise an element of a matrix we use indices R and C, the first index being ALWAYS the row and the second, ALWAYS the column.

Hence:

A₂₃ = the element in row 2 and column 3, that is - 5

COLUMN

1st 2nd 3rd

--------------------------------

1st | 8 -4 -3

ROW 2nd | 3 -9 -5 3rd |-8 8 8

3 -9 -5-8 8 8

This is a matrix of 3 rows and 3 columns (it's called square matrix because the number of rows = the number of columns)

To localise an element of a matrix we use indices R and C, the first index being ALWAYS the row and the second, ALWAYS the column.

Hence:

A₂₃ = the element in row 2 and column 3, that is - 5

COLUMN

1st 2nd 3rd

--------------------------------

1st | 8 -4 -3

ROW 2nd | 3 -9 -5 3rd |-8 8 8