Determinants Quiz

What is the order of a determinant of a 3×3 matrix?

• 1

• 2

• 3

• None

If the determinant of a matrix is zero, then the matrix is:

• Invertible

• Singular

• Non-singular

• Orthogonal

If two rows of a determinant are identical, the value of the determinant is:

• 1

• 0

• −1

• 2

|A| represents:

• Area

• Determinant of matrix A

• Adjoint

• Inverse

The value of the determinant

|1 0 0

0 1 0

0 0 1|

is:

• 0

• 1

• -1

• 2

If a row of a determinant is multiplied by a scalar k, then the determinant becomes:

• k × determinant

• k² × determinant

• Same

• Zero

The cofactor of an element in a matrix is found using:

• Its transpose

• Minor and sign

• Determinant

• None

If A is a square matrix, then |Aᵀ| = ?

• |A|

• −|A|

• 0

• Not defined

If |A| ≠ 0, then matrix A is:

• Singular

• Non-singular

• Orthogonal

• None

Value of determinant after interchanging two rows becomes:

• Doubled

• Same

• Zero

• Negative of the original