Revision - Matrices & Determinants
Maths Higher · Grade 12 · Week 43 · 25 questions
Revision is a core Grade 12 mathematics chapter carrying significant board weight, covering Matrices & Determinants. For JEE, speed on these standard problem types is critical — build fluency through timed practice.
What you'll practise
- Prove Matrices & Determinants
- Master the key derivations and worked examples from NCERT for revision
- Solve CBSE board-pattern problems from revision including NCERT exemplar-level questions
All 25 questions in this Revision - Matrices & Determinants quiz
Grade 12 Maths Higher — Revision - Matrices & Determinants: 25 practice questions with instant scoring and explanations.
- Rank of matrix is:
- Null space of A contains:
- Eigenvalue λ satisfies:
- Diagonalizable matrix:
- Orthogonal matrix QQ^T =:
- Singular matrix rank <
- Matrix norm ||A|| measures:
- Matrix factorization uses:
- Cramer's rule for Ax = b:
- Cofactor matrix elements:
- Adjacency matrix:
- Vandermonde determinant:
- Jordan normal form:
- Positive definite matrix:
- Cholesky decomposition:
- Matrix exponential:
- Spectral theorem:
- Trace properties:
- Gerschgorin circle theorem:
- Pseudo-inverse A+:
- Matrix perturbation:
- Bidiagonal form:
- Hessenberg form:
- Companion matrix:
- Total matrix concepts:
Question 1 of 250 correct so far