True or false about determinants

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   Every square matrix has a determinant.

2. Statement is true

   No

   Statement

   Expanding along a different row changes the value.

3. Statement is true

   Yes

   Statement

   A singular matrix has determinant zero.

4. Statement is true

   Yes

   Statement

   A matrix is invertible only if it is non-singular.

5. Statement is true

   No

   Statement

   Area may be left as a negative number.

Instructions

Decide whether each statement is true or false.

Explanation