Maths Support: Matrices

Covers: Adding, subtracting and multiplying conformable matrices, and multiplying a matrix by a scalar, knowing about the zero matrix and identity matrix, what is meant by equal matrices, and knowing that matrix multiplication is associative but not commutative. (Integral for HE)
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Introduction to matrices, using matrices to represent data, multiplying matrices by scalars adding and subtracting matrices, properties of matrix addition & scalar multiplication, using matrices to manipulate data, matrices as transformations of the plane, using matrices to transform the plane, transforming 3D and 4D vectors with matrices, multiplying matrices by matrices, properties of matrix multiplication, representing systems of equations with matrices, introduction to matrix inverses, finding inverses of 2x2 matrices Solving linear systems with matrices. (Khan Academy)

Covers: finding invariant points for a linear transformation and finding invariant lines for a linear transformation. (Integral for HE)
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Covers: How to find the matrix associated with a linear transformation and vice versa, the matrices that represent reflection in the x and y axes and the lines y=±x, the matrices that represent rotations centre the origin, the matrices that represent enlargements centre the origin and stretches parallel to the x and y axes, the matrices that represent shears with the x or y axes fixed, the 3x3 matrices that represent reflections in x=0, y=0, or z=0 the 3x3 matrices that represent rotations through multiplies of 90° about the x, y, or z axes, the matrix representing a combined transformation can be found by matrix multiplication: the transformation represented by A followed by the transformation represented by B is represented by the matrix BA. (Integral for HE)
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Covering: The determinant of a matrix, determinants and transformations, negative determinants, inverse matrices and transformations, finding the inverse of a matrix and matrices with zero determinant. (Integral for HE)
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How to use matrices to solve a set of simultaneous equations, about the different ways in which three distinct planes can be arranged in 3-D space, and how this relates to the solution of three simultaneous equations in three unknowns. (Integral for HE)
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Finding the determinant and inverse matrix of a 3x3 matrix.(Integral for HE)
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