Matrices - Inverse and Determinants
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A-Level Maths Edexcel Matrices (1) - FP1 Edexcel Maths A-Level
Addition and subtraction of matrices
Multiplication of a matrix by a scalar
Matrices (2) - FP1 Edexcel Maths A-Level
Products of matrices
Matrices (3) - FP1 Edexcel Maths A-Level
Evaluation of 2 x 2 determinants
Singular and non-singular matrices
Inverse of 2 x 2 matrices
Use the relation (AB)
-1 = B
-1A
-1
A-Level Maths Edexcel Matrices (4) - FP1 Edexcel Maths A-Level
Applications of the inverse of a 2 x 2 matrix
Use an inverse matrix to solve simultaneous equations.
A-Level Maths Edexcel Matrices (5) - FP1 Edexcel Maths A-Level
Linear transformations of column vectors in two dimensions and their matrix representation.
A-Level Maths Edexcel Matrices (6) - FP1 Edexcel Maths A-Level
Applications of matrices to geometrical transformations.
Identification and use of the matrix representation of single transformation: reflection in coordinate axes and lines y = ∓x, rotation of multiples of 45° about (0, 0) and enlargement about the centre (0,0) with scale factor, k ≠ 0
A-Level Maths Edexcel Matrices (7) - FP1 Edexcel Maths A-Level
Combinations of transformations.
The transformation represented by AB is the transformation represented by B followed by the transformation represented by A.
Matrices (8) - FP1 Edexcel Maths A-Level
The inverse (when it exists) of a given transformation or combination of transformations.
Idea of the determinant as an area scaled factor in transformations.
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