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Worksheet: Finding the Value of a Given Determinant

Q1:

Find the value of

Q2:

Find the value of

Q3:

Evaluate

  • A βˆ’ 1 9
  • B11
  • C βˆ’ 1 1
  • D19
  • E βˆ’ 7

Q4:

Evaluate

Q5:

Use the properties of determinants to evaluate | | 7 6 0 7 6 1 3 3 5 3 3 6 | | .

Q6:

Use the properties of determinants to evaluate

Q7:

Use the properties of determinants to evaluate

Q8:

Use the properties of determinants to evaluate

Q9:

Find, in its simplest form, an expression for the determinant .

  • A ( 5 π‘₯ + 3 π‘Ž ) ( 5 π‘₯ + 6 𝑏 ) ( 5 π‘₯ + 3 π‘Ž + 6 𝑏 )
  • B ( 5 π‘₯ βˆ’ 3 π‘Ž ) ( 5 π‘₯ βˆ’ 6 𝑏 ) ( 5 π‘₯ βˆ’ 3 π‘Ž βˆ’ 6 𝑏 )
  • C ( 5 π‘₯ + 3 π‘Ž ) ( 5 π‘₯ + 6 𝑏 )
  • D ( 5 π‘₯ + 3 π‘Ž ) ( 5 π‘₯ + 6 𝑏 ) ( 5 π‘₯ βˆ’ 3 π‘Ž βˆ’ 6 𝑏 )

Q10:

Find the value of

Q11:

Find the value of

Q12:

Find the value of

Q13:

Find the value of

Q14:

Use the properties of determinants to evaluate

Q15:

Use the properties of determinants to evaluate

Q16:

Use the properties of determinants to evaluate