Given below are two statements STATEMENT 1:If A and B are square matrices of order n such that det(AB)=-1, then both A and B are nonsingular. STATEMENT 2: If A is a 3x3 matrix with det(A)-5, then det(2A)-10. Which of the following is Correct description of the two statement ? OC statement 1 is FALSE and statement 2 is TRUE. O B. 1 is TRUE and statement 2 is FALSE. OE None A. statement 1 and statement 2 are BOTH TRUE D. statement 1 and statement 2 are BOTH FALSE

Given below are two statements STATEMENT 1:If A and B are square matrices of order n such that det(AB)=-1, then both A and B are nonsingular. STATEMENT 2: If A is a 3x3 matrix with det(A)-5, then det(2A)-10. Which of the following is Correct description of the two statement ? OC statement 1 is FALSE and statement 2 is TRUE. O B. 1 is TRUE and statement 2 is FALSE. OE None A. statement 1 and statement 2 are BOTH TRUE D. statement 1 and statement 2 are BOTH FALSE

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.2: Mathematical Induction

Problem 29E

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