
Relations and Functions

Inverse Trigonometric Functions

Matrices

Determinants

Continuity and Differentiability

Application of Derivatives

Integrals

Differential Equations

Probability

Vectors

Three  Dimensional Geometry

Application of Integrals

Applications of Calculus in Commerce and Economics

Linear Regression

Linear Programming
Matrices
Matrices and Their Types
• A matrix is an ordered rectangular array of numbers or functions arranged in rows and columns. A matrix having m rows and n columns is called a matrix of order m x n. In general, an m × n matrix is represented as below:
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Operations on Matrices
• Let A = [aij] m x n and B = [bij] m x n be two matrices of same order m x n. Then the sum of the two matrices A and B is defined as a matrix
C = [cij] m x n where cij = aij + bij for all possible values of i and j.
• &nb .... Read More
Inverse of a Matrix
• Inverse of a square matrix is same as the reciprocal of a number. Inverse of square matrix A is denoted as A–1.
• Product of a square matrix and its inverse is always a identity matrix of the same order that is AA–1 = I.
.... Read MoreMartin's Rule
 Basic application of matrix is to solve a system of linear equations. If a system of linear equations has one or more solutions, it is said to be consistent.
 A square matrix A is invertible if and only if A is a nonsingular matrix, i.e., A ≠ 0. Inverse of a nonsin .... Read More
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