Question

Consider the Matrix shown below:

What is the value of LaTeX: B_{2,4}-B_{3,2}B 2 , 4 − B 3 , 2

Group of answer choices

-2

3

7

9

Answer 1

The value of
`B_(2,4)` -
`B_(3,2)` is 3 ⇒ 2nd

Explanation:

The dimensions of any matrix are (m × n), where

• m is the number of its row
• n is the number of its column

Ex: Matrix A of dimensions (2 × 3) has 2 rows and 3 columns, where

`A_(1,1)` means the element in the 1st row and 1st column

`A_(1,2)` means the element in the 1st row and 2nd column

`A_(1,3)` means the element in the 1st row and 3rd column

`A_(2,1)` means the element in the 2nd row and 1st column

`A_(2,2)` means the element in the 2nd row and 2nd column

`A_(2,3)` means the element in the 2nd row and 3rd column

Now lets solve the problem

∵ The matrix B has 3 rows

∴ m = 3

∵ The matrix B has 4 columns

∴ n = 4

∴ The dimensions of matrix B are (3 × 4)

∵
`B_(2,4)` means the element in the 2nd row and 4th column

∴
`B_(2,4)` = 9

∵
`B_(3,2)` means the element in the 3rd row and 2nd column

∴
`B_(3,2)` = 6

- Find the value of
`B_(2,4)` -
`B_(3,2)`

∵
`B_(2,4)` -
`B_(3,2)` = 9 - 6

∴
`B_(2,4)` -
`B_(3,2)` = 3