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FP2 (MEI) Matrices (part 1) The determinant and the inverse of a 3 by 3 matrix

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.

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FP2 (MEI) Matrices (part 1) The determinant and the inverse of a 3 by 3 matrix

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

  2. 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.

  3. Before we start...

  4. Before we start...

  5. Before we start...

  6. The determinant of a 3×3 matrix

  7. The determinant of a 3×3 matrix

  8. The inverse of a 3×3 matrix

  9. Example:

  10. The inverse of a 3×3 matrix

  11. Next time…..Matrices and Simultaneous Equations

  12. 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.

  13. 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.

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