It is the topic of maths-2 in the second semester of engineering !! I hope it is useful and satisfactory !!

1 Q.1 If α, β, γ are the roots of x 3 + px 2 + q = 0, where q ≠ 0, then ∆ = β α γ α γ β γ β α / 1 / 1 / 1 / 1 / 1 / 1 / 1 / 1 / 1 equals- (A) –p/q (B) 1/q…

Eigenvector Eigenvectors are a special set of vectors associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic…

Matrix Algebra 1LU-decomposition 50 2. LU–DECOMPOSITION 2.1 Introduction In this chapter we use Gaussianeliminationto solve the system of equations represented by the matrix…

Systems of Linear Equations and Matrices Bowen’s Mathematics Chapter 1, 2 MATRIX: Definitions  Matrix: a rectangular array of numbers which we treat as a single (collective)…

THEORY AND ANALYSIS OF EIGEN VALUES AND EIGEN VECTORS The Eigen value problem is a problem of considerable theoretical interest and wide-ranging application. For example,…

GATE EC BY RK Kanodia CHAPTER 9.1 LINEAR ALGEBRA é 0 1. If A = ê - 1 ê ê ë 2 (A) 0 (C) 2 1 0 -2 -2 ù 3 ú is a singular matrix, then l is ú lú û (B) -2 (D) -1 7.…

1. A matrix is an ordered set of numbers listed in rectangular form Matrix A has 2 rows and 3 columns. We say it is a 2x3 matrix. order 2x3 2. B is a row matrix. C is a column…

1. Announcements Quiz 2 on Wednesday Jan 27 on sections 1.4, 1.5, 1.7 and 1.8 If you have any grading issues with quiz 1, please discuss with me asap. Test 1 will be on Feb…

Schaum’s Outlines, Essential computer mathematics by Seymour Lipschutz, solutions to problems c Elie De Brauwer April 30, 2003 1 Abstract This document contains the solutions…