MAT1503 Oct/Nov 2016 exam paper — questions

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  1. Question 1(a) · Matrices and systems of equations · 4 marks

    Solve the system of equations given by 5x + 3y = 1 and x - 2y = 8.Show the full question

  2. Question 1(b) · Matrices and systems of equations · 5 marks

    Determine the reduced row echelon form of the matrix with rows [1, 2, 3], [1, 4, 1] and [2, 1, 9].Show the full question

  3. Question 1(c)(i) · Matrices and systems of equations · 2 marks

    Given the matrices A = [[4, 1, -2, 7], [3, 1, -1, 5]], B = [[1, 5], [3, -1], [-2, 4], [2, -3]], and C = [[3, 4], [2, 1], [-2, 3], [1, -3]], compute the product AB.Show the full question

  4. Question 1(c)(ii) · Matrices and systems of equations · 2 marks

    Using the same matrices A, B and C as defined for this question (A = [[4, 1, -2, 7], [3, 1, -1, 5]], B = [[1, 5], [3, -1], [-2, 4], [2, -3]], C = [[3, 4], [2, 1], [-2, 3], [1, -3]]), compute the product AC.Show the full question

  5. Question 1(c)(iii) · Matrices and systems of equations · 1 mark

    Based on your computations of AB and AC from the matrices A, B and C given above, state what you observe about the relationship between the two products.Show the full question

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