Worksheet: Determinants of Matrice

In this worksheet, we will practice finding the determinants of 2x2, 3x3, and 4x4 matrices.

Q1:

Given that the determinant of the following matrix is zero, what is in terms of ?

  • A
  • B
  • C
  • D
  • E

Q2:

Find the determinant of the following matrix.

Q3:

Find the determinant of the following matrix.

Q4:

Find the determinant of the following matrix.

Q5:

Find the determinant of the matrix

Q6:

Calculate the determinant of

Q7:

Find the determinant of the matrix

Q8:

Find the determinant of the matrix

Q9:

Find the determinant of the matrix

Q10:

Evaluate | | | 1 0 𝑥 2 𝑥 1 0 𝑥 2 𝑥 | | | c o s s i n s i n c o s .

Q11:

Find the value of

Q12:

Which of the following is equal to | | | 6 8 𝜃 3 𝜃 2 | | | . s i n s i n

  • A | | | 8 𝜃 6 2 3 𝜃 | | | s i n s i n
  • B | | | 6 𝜃 4 3 2 𝜃 | | | c o s c o s
  • C | | | 4 1 2 𝜃 2 𝜃 3 | | | c o s c o s
  • D | | | 1 2 𝜃 4 3 2 𝜃 | | | c o s c o s
  • E | | | 1 2 4 2 𝜃 3 𝜃 2 | | | s i n s i n

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