Answer:
The value of [tex]B_{2,4}[/tex] - [tex]B_{3,2}[/tex] is 3 ⇒ 2nd
Step-by-step 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
[tex]A_{1,1}[/tex] means the element in the 1st row and 1st column
[tex]A_{1,2}[/tex] means the element in the 1st row and 2nd column
[tex]A_{1,3}[/tex] means the element in the 1st row and 3rd column
[tex]A_{2,1}[/tex] means the element in the 2nd row and 1st column
[tex]A_{2,2}[/tex] means the element in the 2nd row and 2nd column
[tex]A_{2,3}[/tex] 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)
∵ [tex]B_{2,4}[/tex] means the element in the 2nd row and 4th column
∴ [tex]B_{2,4}[/tex] = 9
∵ [tex]B_{3,2}[/tex] means the element in the 3rd row and 2nd column
∴ [tex]B_{3,2}[/tex] = 6
- Find the value of [tex]B_{2,4}[/tex] - [tex]B_{3,2}[/tex]
∵ [tex]B_{2,4}[/tex] - [tex]B_{3,2}[/tex] = 9 - 6
∴ [tex]B_{2,4}[/tex] - [tex]B_{3,2}[/tex] = 3
