Prove that the properties of determinants are true by solving the following: 3 1 -5 1 -5 -1 -4 4 -4 4 3 -7 -4 4 3 A 2 3 -5 В1 B2 -3 -6 -6 -6 -6 -3 -2] -3] 1 -4 -3. - -2 -3 -2 -4 -6 k = -2 3D C = | 1 7 D = 1 2 3 3 4 3 -21. a. Using Matrix [A] prove that the Property 1 and 2 of determinant are true. b. Using Matrix [C] and 'k' prove that Property 3 of determinant is true. c. Using Matrix [D] prove that Property 4 of determinant is true. d. Using Matrix [B1] and [B2] prove that by solving the determinant of these matrices separately and getting its sum will give the same answer with the use of Property 5. NOTE: Use your convenient method when solving the determinant of the given matrices.
Prove that the properties of determinants are true by solving the following: 3 1 -5 1 -5 -1 -4 4 -4 4 3 -7 -4 4 3 A 2 3 -5 В1 B2 -3 -6 -6 -6 -6 -3 -2] -3] 1 -4 -3. - -2 -3 -2 -4 -6 k = -2 3D C = | 1 7 D = 1 2 3 3 4 3 -21. a. Using Matrix [A] prove that the Property 1 and 2 of determinant are true. b. Using Matrix [C] and 'k' prove that Property 3 of determinant is true. c. Using Matrix [D] prove that Property 4 of determinant is true. d. Using Matrix [B1] and [B2] prove that by solving the determinant of these matrices separately and getting its sum will give the same answer with the use of Property 5. NOTE: Use your convenient method when solving the determinant of the given matrices.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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