Rank of a Matrix — Study Resources & PYQs
Determination of the rank of a matrix.
- Estimated study time: 30 minutes
Study resources
- Rank of a Matrix (Article) — Rank by minors and by Echelon form, including the normal-form method, with fully solved matrices.
- Rank of a Matrix (Article) — Alternate explanation of rank using linear independence and echelon form with solved examples.
- Matrices – full video course (rank, inverse, system of equations) (Article) — Topic list linking GP Sir's videos on Rank of Matrix, Inverse, and Systems of Linear Equations (homogeneous & non-homogeneous).
- Normal Form & Methods to Find Rank (Article) — Step-by-step rank via echelon form and normal (canonical) form using elementary transformations.
- Matrices (overview) / Inverse by Elementary Transformations (Article) — Central matrices hub linking elementary transformations, inverse, rank, eigenvalues and diagonalisation in one place.
- Eigenvalues & Eigenvectors (NPTEL) (Article) — Full IIT course on rank, eigenvalues/eigenvectors, similarity transformations, diagonalisation and Jordan form. Deep dive for Unit II matrices.
Rank of a Matrix previous year questions
- (a) Find the rank of the following matrix A for various values of k $$A = \begin{bmatrix} 1 & k & -1 & 2 \\ 2 & -1 & -k & 5 \\ 1 & 10 & -6 & 1 \end{bmatrix}$$…
- (a) Find the rank of the following matrix $A$ for various values of $k$ $$A = \begin{bmatrix} 1 & k & -1 & 2 \\ 2 & -1 & k & 5 \\ 1 & 10 & -6 & 1 \end{bmatrix}…
Taught in these subjects
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu