(1) Consider matrices of the following sizes: A = 2 x 2, B= 2 x 2, C = 2 × 3, D= 3 x 2, E=3 x 3. (a) Determine which of the following operations are defined and the size of the result: A+ B, C+D, ACD– B, DE, D'E, CD + D'C* (b) Simplify 5(C + D) – (2C“ + 3D). (c) Simplify -(A+2B – CD) + 2(A+B) – 5(CD – B) + 4A + CD.

(1) Consider matrices of the following sizes: A = 2 x 2, B= 2 x 2, C = 2 × 3, D= 3 x 2, E=3 x 3. (a) Determine which of the following operations are defined and the size of the result: A+ B, C+D, ACD– B, DE, D'E, CD + D'C* (b) Simplify 5(C + D) – (2C“ + 3D). (c) Simplify -(A+2B – CD) + 2(A+B) – 5(CD – B) + 4A + CD.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...

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