Question

Suppose A is a matrix and k is a positive integer. What does the notation Ak mean?

Answer 1

Answer:

Scalar product

Step-by-step explanation:

The scalar product of a matrix refers to the product of a matrix and a number. The scalar is used to multiply each element in the matrix to get the final vector. In the question the scalar is k which is a constant and the matrix is A.

in the example below 2 is the scalar

$2*\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]$

the final matrix will be

$\left[\begin{array}{ccc}2&4&6\\8&10&12\\14&16&18\end{array}\right]$