(2) Consider the following matrices A [2]. 35 (i) Compute 3.4 - 2B and B². (ii) Show that AB ‡ BA. (iii) Compute det (A) and det(A³). (iv) Write down the matrix A¹. Does B-¹ exist? Explain briefly. (v) Use your answer in (iv) to solve the linear system: 2x + 4y = 2 3x + 5y = 1. B =

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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Question 2 part (v)

(2) Consider the following matrices
24
A =
35
4-2
(i) Compute 3A-2B and B².
(ii) Show that AB + BA.
(iii) Compute det (A) and det(A³).
(iv) Write down the matrix A-¹. Does B-¹ exist? Explain briefly.
(v) Use your answer in (iv) to solve the linear system:
2x + 4y = 2
3x + 5y = 1.
B =
Transcribed Image Text:(2) Consider the following matrices 24 A = 35 4-2 (i) Compute 3A-2B and B². (ii) Show that AB + BA. (iii) Compute det (A) and det(A³). (iv) Write down the matrix A-¹. Does B-¹ exist? Explain briefly. (v) Use your answer in (iv) to solve the linear system: 2x + 4y = 2 3x + 5y = 1. B =
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