Test: Linear Algebra

1.

Your friend Hector wants to multiply two matrices  and  as follows: . Unfortunately, Hector knows nothing about matrix dimensions. Which of the following statements will help Hector figure out whether it is possible for him to multiply ?

The number of rows in matrix  must be equal to the number of columns in matrix .

The number of rows in matrix  must be equal to the number of rows in matrix .

 and  must both be square matrices, otherwise you cannot multiply them.

The number of columns in matrix  must be equal to the number of columns in matrix .

The number of columns in matrix  must be equal to the number of rows in matrix .

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