Determinant Quiz

Find the determinant of the 2x2 matrix [[a, b], [c, d]].

• ad - bc

• ad + bc

• ac - bd

• ac + bd

Calculate the determinant of the matrix [[2, -1], [4, 3]].

• 2

• 10

• -2

• 14

What is the determinant of the 3x3 identity matrix?

• 0

• 1

• 3

• Undefined

Find the determinant of the matrix [[1, 0, 0], [0, 2, 0], [0, 0, 3]].

• 0

• 1

• 6

• 1/6

If matrix A is 3x3 and det(A) = 5, find det(2A).

• 10

• 40

• 25

• 1/5

If A and B are 2x2 matrices and det(A) = 2, det(B) = 3, what is det(AB)?

• 5

• 6

• 1

• Not determinable from the given information.

If det(A) = 7, what is det(A⁻¹)? (Assuming A is invertible)

• 7

• 1/7

• 0

• -7

What is the determinant of a 4x4 matrix with a row of all zeros?

• 1

• 4

• 0

• Cannot be determined

Given a 3x3 matrix A, which row (or column) would be the best choice for cofactor expansion if it has two zeros?

• Any row or column

• The row or column with the most zeros

• The first row

• The last column

Using cofactor expansion to find the determinant of a 5x5 matrix would require how many 4x4 determinant calculations?

• 1

• 4

• 5

• 25