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Worksheet: Determinants of Matrice

Q1:

Find the determinant of the matrix

Q2:

Find the determinant of the following matrix.

Q3:

Evaluate | | | 1 0 π‘₯ βˆ’ 2 π‘₯ 1 0 π‘₯ 2 π‘₯ | | | c o s s i n s i n c o s .

Q4:

Find the determinant of the following matrix.

Q5:

Find the determinant of the matrix

Q6:

Find the value of

Q7:

Given that the determinant of the matrix  π‘Ž 2 𝑏 5  is zero, what is 𝑏 in terms of π‘Ž ?

  • A 𝑏 = 2 5 π‘Ž
  • B 𝑏 = 2 π‘Ž 5
  • C 𝑏 = βˆ’ 5 π‘Ž 2
  • D 𝑏 = 5 π‘Ž 2
  • E 𝑏 = βˆ’ 2 π‘Ž 5

Q8:

Find the determinant of the matrix

Q9:

Find the determinant of the matrix

Q10:

Which of the following is equal to | | | βˆ’ 6 βˆ’ 8 πœƒ 3 πœƒ 2 | | | . s i n s i n

  • A | | | βˆ’ 8 πœƒ βˆ’ 6 2 3 πœƒ | | | s i n s i n
  • B | | | βˆ’ 6 πœƒ βˆ’ 4 3 2 πœƒ | | | c o s c o s
  • C | | | βˆ’ 4 βˆ’ 1 2 πœƒ 2 πœƒ 3 | | | c o s c o s
  • D | | | βˆ’ 1 2 πœƒ βˆ’ 4 3 2 πœƒ | | | c o s c o s
  • E | | | βˆ’ 1 2 βˆ’ 4 2 πœƒ 3 πœƒ 2 | | | s i n s i n

Q11:

Calculate the determinant of

Q12:

Find the determinant of the matrix  5 1 0 5  .