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Arrays are important mathematical structures in organizing data into rows and columns. They are extremely important in solving linear systems and linear equations. Thus, matrices are a unique tool in other areas, such as: Engineering, Computing and other sciences. Between matrices we can perform calculations involving addition, subtraction and multiplication.

Let's demonstrate how to multiply a real number by an array of type **mxn**, where m represents the rows and n the columns. This type of multiplication is very simple, as it is enough to multiply the real number by all the elements belonging to the matrix. Watch:

Let's perform some more multiplications in order to fix the methods used in this type of operation.

given the matrices and , determine:

a) 2A + 3B

b) 7A - 6B

by Mark Noah

Graduated in Mathematics

Brazil School Team

**Matrix and Determinate** - **Math** - **Brazil School**

**Source:** Brazil School - https://brasilescola.uol.com.br/matematica/multiplicando-um-numero-real-por-uma-matriz.htm