Inverse of a Matrix and Its Applications
Telangana Open School (TOSS) · Class 12 · Mathematics
All formulas from Inverse of a Matrix and Its Applications in Telangana Open School (TOSS) Class 12 Mathematics. Key equations, constants, and identities for board exam preparation.
Interactive on Super Tutor
Studying Inverse of a Matrix and Its Applications? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for formula sheet and more.
1,000+ Class 12 students started this chapter today
Formulas
Singular and Non-Singular Matrices
|A| = 0
|A| ≠ 0
Minors and Cofactors
M_ij = determinant of submatrix after removing row i and column j
C_ij = (-1)^(i+j) × M_ij
Adjoint of a Matrix
Adj A = (C_ij)^T
Inverse of a Matrix
A⁻¹ = (1/|A|) × Adj A
AA⁻¹ = A⁻¹A = I
Full sheet with units and worked examples
View AllFrequently Asked Questions
What are the important topics in Inverse of a Matrix and Its Applications for Telangana Open School (TOSS) Class 12 Mathematics?
How to score full marks in Inverse of a Matrix and Its Applications — Telangana Open School (TOSS) Class 12 Mathematics?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Inverse of a Matrix and Its Applications
Practice Quiz
Test yourself with a quick quiz
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Inverse of a Matrix and Its Applications chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Telangana Open School (TOSS) Class 12 Mathematics.