Matrices — Class 12 ISC Mathematics revision notes
A 5-page visual revision sheet for Matrices, written for Class 12 ISC Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Matrices sheet covers
- types of matrices
- What a matrix is, and the types worth naming
- Addition and scalar multiplication, which behave
- operations on matrices
- Multiplication, and the three rules that follow from it
- Transpose and the algebra it obeys
- definition
- double transpose
- sum
- scalar
- product, order reversed
- inverse
- Symmetric and skew symmetric
- Elementary row operations
- Determinant, adjoint and inverse
- two by two determinant
- cofactor
- adjoint
- the key identity
- determinant of a product
- Singular, non singular, and what follows
- Solving a system with matrices
- Powers of a matrix
- Working a proof question
- The two by two facts that shorten everything
- The matrix that is its own inverse
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Matrices the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.