Definition, Solved Example Problems | Differential Calculus
Subject and UNIT: Matrices and Calculus: Unit II: Differential Calculus
In this section we discuss some of the main ways of getting new functions from given functions.
Definition, Methods of Representing, Examples, Solved Example Problems
Subject and UNIT: Matrices and Calculus: Unit II: Differential Calculus
Calculus begins with the study of functions. Functions are very fundamental in mathematics.
Introduction
Subject and UNIT: Matrices and Calculus: Unit II: Differential Calculus
Calculus is one of the remarkable achievements of the human intellect.
Solved Example Problems | Matrices
Subject and UNIT: Matrices and Calculus: Unit I: Matrices
Questions and Answers : Matrices and Calculus: Matrices
Subject and UNIT: Matrices and Calculus: Unit I: Matrices
Worked Examples : Example, Excercise with Answers : Matrices and Calculus: Matrices
Subject and UNIT: Matrices and Calculus: Unit I: Matrices
If the directions of X and Y are the same or opposite, then these directions are called Principal directions.
Solved Example Problems
Subject and UNIT: Matrices and Calculus: Unit I: Matrices
Worked Examples of Real Quadratic Form Reduction to Canonical Form : Example, Excercise with Answers : Matrices and Calculus: Matrices
Matrices
Subject and UNIT: Matrices and Calculus: Unit I: Matrices
A homogeneous polynomial of second degree in any number of variables is called a quadratic form.
Theorem, Properties, Solved Example Problems | Matrices
Subject and UNIT: Matrices and Calculus: Unit I: Matrices
Similar matrices have the same eigen values.
Worked Example Problems
Subject and UNIT: Matrices and Calculus: Unit I: Matrices
Every square matrix satisfies its characteristic equation
Matrices
Subject and UNIT: Matrices and Calculus: Unit I: Matrices
A square matrix A and its transpose AT have the same eigen values.
Definition, Properties, Worked Examples
Subject and UNIT: Matrices and Calculus: Unit I: Matrices
The word 'eigen' is German, which means 'characteristic' or 'proper'. So, an eigen value is also known as characteristic root or proper value. Sometimes it is also known as latent root.