Linear Algebra

Linear Algebra Guide

Linear Algebra

Linear Algebra Guide

Linear Algebra

Linear Algebra

Linear Algebra

UESTION TWO (20 MARKS) a) Let T: → be defined by , = (x+y, y). Show that T is a linear transformation. Find f(A) when A QUESTION THREE (20 MARKS) a) If A and B are similar matrices show that they have the same determinant. (5 Marks) 2 1 0 0 0 2 0 0 (6 Marks) 0 0 1 1 0 0 − b) Find the characteristics polynomial of the matrix A 2 4

University Examinations 2023/2024 LINEAR ALGEBRA I QUESTION ONE – (30 MAKS) a) Solve for the constants a, b and c if a 5i ~ + ~j b ~j+ k~ ck~ =8~i+3~j− k~ (4 marks) b) Given that u = i+ 2 j+ k and v = j+ 3k , determine the cross product of u and v. ~ ~ ~ ~ ~ ~ ~ ~ ~ (3 marks) c) Write the polynomial = +4 − 3 as a linear combination of...

Test Bank for Linear Algebra and Its Applications, 6th edition by David C. Lay, Steven R. Lay. Full Chapters test bank are included - Chapter 1 to 9 Linear Equations in Linear Algebra Introductory Example: Linear Models in Economics and Engineering 1.1 Systems of Linear Equations 1.2 Row Reduction and Echelon Forms 1.3 Vector Equations 1.4 The Matrix Equation Ax = b 1.5 Solution Sets of Linear Systems 1.6 Applications of Linear Systems 1.7 Linear Independence

Stepwise solution of Ex 2.8 from Calculus (Anton,Bivens,Davis)with diagram to explain the geometrical properties of the issue concerned.