Question

Let (r × s) denote an r × s matrix. Find the sizes of those matrix products that are defined:
(a) (2 x 3) (3 x 4),

(b) (4x 1) (1 x 2),

Help me to solve this with explanation so that I can do the rest. Here is only two! Thank you.​

Answer 1

just multiply the numbers inside the bracket

Answer 2

Answer:

(a)  (2 x 3) (3 x 4)

Size of matrix products : $(2\times4)$

(b) (4x 1) (1 x 2)

Size of matrix products :$(4\times2)$

Step-by-step explanation:

A rectangular matrix is a grouping of numbers into rows and columns. A matrix element or entry is the term used to describe each number in a matrix.

The number of rows and columns of a matrix, in that order, can be found in the matrix's dimensions. Let matrix A has 2 rows and three columns it is called $2\times3$ matrix.

In order for matrix multiplication to be defined, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

determine the size of a matrix multiplication:

You take the number of rows from the first matrix to find the first dimension, and the number of columns from the second matrix  to find the second dimension. Another way to think of this: The dimensions of their product is the two outside dimensions.

(a)  (2 x 3) (3 x 4)

Size of matrix products : $(2\times4)$

(b) (4x 1) (1 x 2)

Size of matrix products :$(4\times2)$

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