Topic Past Papers –Linear Equations Advanced Higher Topic Past Papers –Linear Equations Unit 1 Outcome 5 2001 A1. Use Gaussian elimination to solve the following system of equations. 2002 5 marks A1. Use Gaussian elimination to solve the following system of equations. 5 marks 2003 A6. Use elementary row operations to reduce the following system of equations to upper triangular form Hence express x, y and z in terms of the parameter a. Explain what happens when a = 3. 2 marks 2 marks 2 marks 2005 6. Use Gaussian elimination to solve the system of equations below when λ ≠ 2: Explain what happens when λ = 2. 4 marks 2 marks 2006 9. Use Gaussian elimination to obtain solutions of the equations 5 marks 2009 16. (a) Use Gaussian elimination to solve the following system of equations 5 marks 2010 Use Gaussian elimination to show that the set of equations has a unique solution when Explain what happens when a = 2.5. 5 marks 1 mark Lanark Grammar Mathematics Department Mrs Leck

Topic Past Papers –Linear Equations Advanced Higher Topic Past Papers –Linear Equations Unit 1 Outcome 5 2012 5 marks 1 mark 2 marks 1 mark 2014 6 marks 1 mark Lanark Grammar Mathematics Department Mrs Leck

Topic Past Papers – Linear Equations Advanced Higher Topic Past Papers – Linear Equations Unit 1 Outcome 5 2001 A1. x = -26, y = 13, z = 23 2002 A1. x = 2, y = -3, z = 1. 2003 A6 When a = 3, we get z = 1 and ¼ from the second equation but z = 1 from the third, ie inconsistent. 2005 2006 2009 2010 When a = 2.5 there are no solutions. 2012 2014 Lanark Grammar Mathematics Department Mrs Leck