Let Maths take you Further…

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Presentation transcript:

Let Maths take you Further… FP2 (MEI) Matrices (part 1) The determinant and the inverse of a 3 by 3 matrix Let Maths take you Further…

The determinant and the inverse of a 3 by 3 matrix Before you start: You need to have covered the work on matrices in FP1, particularly the work on determinants and inverses. When you have finished… You should: Know what is meant by the minor and the cofactor of an element of a matrix. Be able to find the determinant of any 3 x 3 matrix. Know simple properties of determinants (pages 87 – 89). Be able to find the inverse of a non-singular 3 x 3 matrix.

Before we start...

Before we start...

Before we start...

The determinant of a 3×3 matrix

The determinant of a 3×3 matrix

The inverse of a 3×3 matrix

Example:

The inverse of a 3×3 matrix

Next time….. Matrices and Simultaneous Equations

The determinant and the inverse of a 3 by 3 matrix When you have finished… You should: Know what is meant by the minor and the cofactor of an element of a matrix. Be able to find the determinant of any 3 x 3 matrix. Know simple properties of determinants (pages 87 – 89). Be able to find the inverse of a non-singular 3 x 3 matrix.

Independent study: Using the MEI online resources complete the study plans for the two sections: Matrices 1 & 2 Do the online multiple choice tests for these sections and submit your answers online.