Question

The matrix shows the number of different basketball shots three players made in two minutes. These players want to double these results. Which matrix shows what the players want to do?

Answer 1

Look at your answer choices and see which one has multiplied each of the shots by 2

Explanation:

Answer 2

Explanation:

To find the right matrix, you have to look which matrix among the options has doubled each item.

For example, if you have:

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

Then, your answer would be:

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

Because each term is the double of the original matrix.

Remember that, this operation is between a scalar and a matrix. That operation is done according to this property:

`aM=a\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] = \left[\begin{array}{ccc}1a&2a&3a\\4a&5a&6a\\7a&8a&9a\end{array}\right]`

In fewer words, the scalar will multiply each element of the matrix.