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Lesson: Solving a System of Two Equations Using Matrices

Sample Question Videos

Worksheet • 11 Questions • 2 Videos

Q1:

Express the given simultaneous equations as a matrix equation.

  • A ο€Ό 4 βˆ’ 2 5 3  ο€» π‘₯ 𝑦  = ο€Ό 0 βˆ’ 1 1 
  • B ο€Ό βˆ’ 2 4 3 5  ο€» π‘₯ 𝑦  = ο€Ό βˆ’ 1 1 0 
  • C ο€Ό 4 βˆ’ 2 5 3  ο€» π‘₯ 𝑦  = ο€Ό βˆ’ 1 1 0 
  • D ο€Ό 4 3 βˆ’ 2 0  ο€» π‘₯ 𝑦  = ο€Ό 0 βˆ’ 1 1 
  • E ο€Ό 4 3 βˆ’ 2 0  ο€» π‘₯ 𝑦  = ο€Ό βˆ’ 1 1 0 

Q2:

Use matrices to solve the system

  • A π‘₯ = βˆ’ 1 6 7 , 𝑦 = 8 7
  • B π‘₯ = 5 , 𝑦 = 1 3 5
  • C π‘₯ = 2 , 𝑦 = βˆ’ 1
  • D π‘₯ = 8 7 , 𝑦 = βˆ’ 1 6 7
  • E π‘₯ = 1 6 7 , 𝑦 = βˆ’ 8 7

Q3:

Use matrices to solve the following system of equations.

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Q4:

Use matrices to solve the system

  • A π‘₯ = βˆ’ 1 , 𝑦 = 2
  • B π‘₯ = 1 0 , 𝑦 = βˆ’ 1 5
  • C π‘₯ = 2 7 4 3 , 𝑦 = βˆ’ 5 4 4 3
  • D π‘₯ = 2 , 𝑦 = βˆ’ 1
  • E π‘₯ = 1 , 𝑦 = βˆ’ 2

Q5:

Use matrices to solve the following system of equations.

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Q6:

Express the given simultaneous equations as a matrix equation.

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Q7:

Express the given simultaneous equations as a matrix equation.

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Q8:

Use matrices to solve the following system of equations.

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  • B
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  • E

Q9:

Express the given simultaneous equations as a matrix equation.

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  • E

Q10:

Express the given simultaneous equations as a matrix equation.

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  • E

Write down the inverse of the coefficient matrix.

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Multiply through by the inverse, on the left-hand side, to solve the matrix equation.

  • A
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  • E

Q11:

Use matrices to solve the following system of equations.

  • A
  • B
  • C
  • D
  • E
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