Sunday, May 1, 2016

IIT JEE Mathematics Study Plan 11. Matrices

11.1 Matrix
11.2 Types of matrices
11.3 Equality of matrices
11.4 Algebra of matrices
11.5 Multiplication of a matrix by a scalar (scalar multiplication)
11.6 Subtraction of matrices (definition)
11.7 Multiplication of matrices
11.8 Transpose of a matrix
11.9 Symmetric and skew symmetric matrices
11.10 Determinants
11.11 Singular matrix
11.13 Inverse of a matrix
11.14 elementary transformations of elementary operations of a matrix
11.15 Orthogonal matrix
11.16 Submatrix
11.17 Rank of a matrix
11.18 Some theorems on rank of a matrix
11.19 Equivalent matrices
11.20 Echelon form of a matrix
11.21 System of simultaneous linear equations
11.22 Solution of a non-homogeneous system of linear equations
11.23 Rank method
11.24 Solution of a homogeneous system of linear equations

Study Plan

Day 1

11.1 Matrix
11.2 Types of matrices
11.3 Equality of matrices
11.4 Algebra of matrices

Day 2

11.5 Multiplication of a matrix by a scalar (scalar multiplication)
11.6 Subtraction of matrices (definition)
11.7 Multiplication of matrices

Day 3
11.8 Transpose of a matrix
Objective Types questins 1 to 6,
Practice Exercises 1 to 10

Day 4

11.9 Symmetric and skew symmetric matrices
Ex 1 to 8

Day 5

11.10 Determinants
11.11 Singular matrix

Day 6

11.13 Inverse of a matrix
11.14 elementary transformations of elementary operations of a matrix

Day 7
11.15 Orthogonal matrix
11.16 Submatrix
11.17 Rank of a matrix
11.18 Some theorems on rank of a matrix

Day 8
11.19 Equivalent matrices
11.20 Echelon form of a matrix
Objective Type Exercises 8 to 20

Day 9
11.21 System of simultaneous linear equations
11.22 Solution of a non-homogeneous system of linear equations
11.23 Rank method

Day 10

11.24 Solution of a homogeneous system of linear equations
Revision of concepts in the chapter

Day 11
OTE 21 to 40

Day 12
OTE 41 to 60

Day 13
OTE 61 to 80

Day 14
OTE 81 to 91
Fill in the blanks 1 to 17

Day 15

True/false questions 1 to 30

Day 16
Practice Exercises 11 to 20

Day 17
Practice Exercises 21 to 33

Day 18
Revision - Theory, Formulas and Difficult Problems

Day 19
Revision - Theory, Formulas and Difficult Problems

Day 20
Revision - Theory, Formulas and Difficult Problems

Updated 1 May 2016,  7 Nov 2008