The following represent matrices and the dimension of each is also stated below. A is a matrix of size 4X2 B is a matrix of size 3X5 C is a matrix of size 7X2 D is a matrix of size 5X4 E is a matrix of size 5X3

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The following represent matrices and the dimension of each is also stated below. A is a matrix of size 4X2 B is a matrix of size 3X5 C is a matrix of size 7X2 D is a matrix of size 5X4 E is a matrix of size 5X3.

Which of the following matrices products are defined?

Answer:

EB is defined

BE is defined

BD is defined

and DA is defined

Step-by-step explanation:

To know that the product of two matrices are defined, the column of the first matrix must be the same as the row of the second matrix.

For example; for EB we have 5 columns for E and 5 rows for B. After this product is done it produces a matrix with dimension 3 x 3, which means 3 by 3 (3 rows by 3 columns)