Om Higher Maths
This channel is dedicated to provide the educational content to students of higher mathematics. It is organized by Dr. Hariom, an academician with a strong background in mathematics.
Dr. Hariom completed his Graduation from the University of Delhi, Post Graduation and PhD from IIT Delhi. He secured All India Rank 38 in IIT JAM 2015, cleared the written test and interview for Integrated PhD in TIFR GS 2015, secured All India Rank 11 in the CSIR JRF Dec 2016, cleared the NBHM PhD written test and interview in 2018 and secured All India Rank 1 in GATE 2019. (without joining any external coaching centre)
Channel's Objective:
The channel aims to provide the educational content to students of higher mathematics, specially who are preparing for UPSC CSE Mathematics Optional, IIT JAM, CSIR-UGC NET(JRF), GATE, CUET(PG) and any State Public Service Commission exam with Mathematics Optional, so that students can prepare for their exams by self-study.
16 Linear Algebra (Matrices): Characteristic Roots (Eigen Values) of adj(A), kA, A^-1, A^2, f(A),
15 Linear Algebra (Matrices): Eigen Value (Characteristic Root) of Hermitian & Skew-Hermitian matrix
14 Linear Algebra (Matrices): Eigen Values | Eigen Vectors | Detailed Example | Definition Explained
13 Linear Algebra (Matrices): Examples|Solution|Consistent & inconsistent system| Linear Equations
12 Linear Algebra (Matrices): System of Linear Equations |Consistent |Inconsistent |Rank of A+B, AB
11 Linear Algebra (Matrices): Normal Form of Matrix, Column Echlon form, Elementary Matrices
10 Linear Algebra (Matrices): Rank of Matrix, Row Echlon form of Matrix by Elementary row operations
09 Linear Algebra (Matrices): Orthogonal & Involutory matrix, system of equations & matrix inverse
08 Linear Algebra (Matrices): Results related to singular, non singular, adjoint & symmetric matrix
IIT JAM Maths preparation Strategy by Self Study at home with OM Higher Maths, Math 2026,2027,2028
07 Linear Algebra (Matrices): Adjoint and Inverse of a Matrix, Singular Matrix, Non Singular Matrix
06 Linear Algebra (Matrices): Determinant of 4x4, nxn matrix by row & column operations, Cramer rule
05 Linear Algebra (Matrices): Elementary row & column operations, determinant of triangular matrices
04 Linear Algebra (Matrices): Determinant of 2x2, 3x3, 4x4 and nxn order matrix, Minors, Cofactors.
03 Linear Algebra (Matrices): Symmetric, Skew Symmetric, Hermitian, Skew Hermitian Matrix Properties
02 Linear Algebra (Matrices): Involutory, Idempotent, Null, Trace, Transpose, Conjugate of a Matrix
01 Linear Algebra (Matrices): Definition of matrix, types of matrices, How to multiply matrices.
Strategy for UPSC CSE Maths Optional by self study, 2026, 2027 and onwards. HPSC, MPPSC, RPSC,UPPSC