what does dimensions of the matrix mean

Question

i'm stuck on a homework assignment that I wasn't there for yesterday and I need help on how to do it.

Answer 1

Dimensions of a matrix refer to the number of rows and number of columns

 

Matrix Dimension = rows x columns

 

1   2   3

4   5   6

7   8   9

1   2   3

 

The matrix above has 4 rows (horizontal) and 3 columns (vertical) so it is a 4 x 3 matrix.

 

Answer 2

Hello, thank you for taking the time to post your question!

The dimensions of a matrix tells you how many rows and columns there are. So like if it said that Matrix A had dimensions of 2 x 3, that means that the matrix has 2 rows and 3 columns.

Knowing the size helps you determine what matrices can have operations performed on them … in order to add or subtract two matrices, they must have the exact same dimensions. And in order to multiply two matrices together, you need the number of columns in the first matrix to equal the number of rows in the second.

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)