Can a 3x3 Matrix and a 2x3 be Multiplied Together?

Question

The first matrix has 3 rows and 3 columns and the 2nd matrix has 2 rows and 3 columns. Can they be multiplied together? If so, what would the dimensions of the product be?

Answer 1

No they can't. Here's is a easy way to check if they can:



(3 x 3) x (2 x 3)



The two inner numbers (3 and 2 in this case) must be the same.



Hope this helps!

Answer 2

Matrices are often used to perform transformations on coordinates. They can do so in any number of dimensions. Matrices representing transformations can be multiplied together combining all of the translation matrices into one. This means that matrices can save time when performing translations, - multiple rotations, translations, enlargements, etc can be combined into one matrix and can be executed in a single matrix operation.





Matrices

A matrix is a 2D array of numbers which can have any width and height. Below is an example of a 4 by 2 matrix. Note that usually matrices are stated as height by width, not the other way around :









Matrix Math

Below are detailed (algebraicly, descriptions are given where necessary) matrix math functions (addition, multiplication)





Addition

Simply add the values of the positions to each other. This means that the matrices to be added must be the same size, - you cannot add a 4x2 to a 3x5, only to another 4x2.











Subtraction

Same as addition, but subtracting instead. Once again, matrices must be of the same size.











Multiplication

Because multiplication is a more complex process.

Answer 3

no it cannot



3rows by 3 columns can not be multiplied to a 2rows by 3 colums



the columns of the first one have to be equal to the rows of the second



so no

Answer 4

no, because you have to have the column in the first and the row number in the second be the same number.

Answer 5

no they can't because they aren't the same demensions. the only way you can multiply different matricies is if the inside numbers are the same and if they are just solve with ur calculator....ex.2x3 times3x2...hope i could help