- Carry out operations of matrix addition, subtraction and multiplication, and recognise the terms zero matrix and identity (or unit) matrix
- Recall the meaning of the terms ‘singular’ and ‘non-singular’ as applied to square matrices and, for 2 x 2 and 3 x 3 matrices, evaluate determinants and find inverses of non-singular matrices understand and use the result, for non-singular matrices, (AB)^ –1 = B^ –1 A^-1
- The notations det M for the determinant of a matrix M, and I for the identity matrix
- Understand the use of 2 x 2 matrices to represent certain geometric transformations in the x-y plane, in particular
– understand the relationship between the transformations represented by A and A^–1
– recognise that the matrix product AB represents the transformation that results from the transformation represented by B followed by the transformation represented by A
– recall how the area scale factor of a transformation is related to the determinant of the corresponding matrix
– find the matrix that represents a given transformation or sequence of transformations - Understand the meaning of ‘invariant’ as applied to points and lines in the context of transformations represented by matrices, and solve simple problems involving invariant points and invariant lines
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have purchased this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.
£3.00