you know that for an experiment with two independent variables (IVs) with one IV having 2 levels and the second IV having 3 levels, the resulting matrix will require ___ separate samples.

Total 6 sample will required.

Explanation:

We know that variable are of two types

1. Independent variable:

Those variable does not depends on the other variables.

1. Dependent variable:

Those variable depends on the other variables.

Ex: f (y) = 23 x + 2

Here x is independent variables and y is dependent variables.

In the given question

One dependent variables have two independent variables.

First IV have two levels and second IV have 3 levels

So the total sample required = 2 x 3 = 6

Total 6 sample will required.