Which of the following subsets of the sets in the set of real square matrices of size 2 x 2 is closed for the usual operation of matrix multiplication? (a) {A ∈ R^2x2 | matrix trace A= 0} (b) {A ∈ R^2x2 | A^2 = 0} (c) {A ∈ R^2x2 | det A= 0} (d) {A ∈ R^2x2 | matrix trace A= 2} (e) {A ∈ R^2x2 | det A= 2}..

Which of the following subsets of the sets in the set of real square matrices of size 2 x 2 is closed for the usual operation of matrix multiplication? (a) {A ∈ R^2x2 | matrix trace A= 0} (b) {A ∈ R^2x2 | A^2 = 0} (c) {A ∈ R^2x2 | det A= 0} (d) {A ∈ R^2x2 | matrix trace A= 2} (e) {A ∈ R^2x2 | det A= 2}..

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Which of the following subsets of the sets in the set of real square matrices of size 2 x 2 is closed for the usual operation of matrix multiplication?

(a) {A ∈ R^2x2 | matrix trace A= 0}

(b) {A ∈ R^2x2 | A^2 = 0}

(d) {A ∈ R^2x2 | matrix trace A= 2}

(e) {A ∈ R^2x2 | det A= 2}..

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