True or false on determinants

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   Only square matrices have determinants.

2. Statement is true

   No

   Statement

   A determinant is itself a matrix.

3. Statement is true

   Yes

   Statement

   Swapping rows and columns keeps the value.

4. Statement is true

   No

   Statement

   Collinear points give a non zero area.

5. Statement is true

   Yes

   Statement

   A cofactor is a signed minor.

6. Statement is true

   No

   Statement

   Rectangular matrices have determinants.

Instructions

Decide whether each statement is true or false.

Explanation