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ECON1003
Mathematics for the Social Sciences
Topic 5: Matrix Algebra
Lecturer: Marlon Tracey

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Objective
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At the end of this topic, students should be
able to:
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Do operations on matrices.
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Determine the determinant and inverse of a matrix.
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Identify the properties of the inverse.
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Solve a given system of equations using matrix
inversion and Cramer’s rule.

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Outline
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Introduction
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Definition of a matrix
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Types of matrices
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Matrix addition and subtraction
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Multiplication and transposition
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The determinant of a 2 x 2 and a 3 x 3 matrices.
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The inverse of a 2 x 2.
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Matrix solution of 2 x 2 and 3 x 3 systems of linear equations.

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