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Mastering Matrices: Determinant & Inverse of a 3x3 Matrix

Dive deep into matrices as you learn to find determinants and inverses of 3x3 matrices. Explore properties and examples to consolidate your understanding. Get ready for the next level!

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Mastering Matrices: Determinant & Inverse of a 3x3 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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