Matrices — Class 12 Maharashtra HSC Mathematics revision notes
A 5-page visual revision sheet for Matrices, written for Class 12 Maharashtra HSC 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
- Elementary Transformations
- Notation for Elementary Transformations
- interchange rows i and j
- scale row i by k, k≠0
- add k times row i to row j
- Elementary Transformation Method
- Inverse by Transformation
- Inverse by Transformation, worked
- Minors and Cofactors
- Adjoint method
- Inverse by Adjoint
- adjoint, the transpose of the cofactor matrix
- inverse from the adjoint, needs |A|≠0
- inverse of a product, order reverses
- product of A with its own adjoint
- Adjoint by Cofactors, worked
- Inverse by Adjoint, worked
- determinant of A, rows (2,-3) and (4,1)
- Elementary Transformation Method vs Adjoint Method
- By Transformation
- By Adjoint
- Quick Reference: Every Key Formula
- adjoint
- inverse from the adjoint
- A times its own adjoint
- inverse of a product
- determinant of the adjoint
- adjoint of the adjoint
- solving AX=B
- Solving Equations by Matrices
- Method of Inversion
- Method of Inversion, worked
- Symbols
- Method of Reduction
- Method of Reduction, worked
- Method of Inversion vs Method of Reduction
- Inversion
- Reduction
- 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.