A-Level Further Maths Edexcel (9FM0)

3: Matrices

#3.1

Matrix operations

Add and subtract matrices

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Multiply two matrices

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Multiply matrix by scalar

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#3.2

Zero and identity matrices

Use zero matrices

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Use identity matrices

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#3.3

Linear transformations

Express linear transformations in two dimensions as a matrix

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Express enlargements and stretches in two dimensions as a matrix

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Express rotations in two dimensions as a matrix

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Express reflections in two dimensions as a matrix

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Express successive transformations as a matrix

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Express reflections in three dimensions as a matrix

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Express rotations in three dimensions as a matrix

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Express the inverse of a linear transformation as a matrix

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#3.4

Invariant points and lines

Find invariant points and lines for a linear transformation

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#3.5

Calculate determinant of a 2x2 matrix

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Calculate determinant of a 3x3 matrix

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Use determinants in linear transformations

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#3.6

Inverse matrices

Find inverse of a 2x2 matrix

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Find inverse of a 3x3 matrix using adjugate

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#3.7

Solve simultaneous equations in three variables

Solving systems of linear equations using matrices

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#3.8

Geometric interpretation of solution of three simultaneous equations

Determine consistency of a system of 3 linear equations in 3 unknowns

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2

Complex numbers

4

Further algebra and functions

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