(c) Is it possible for an n × n matrix A to satisfy A3 = In without A being invertible? Explain

Question

17-10-2019
Mathematics

contestada

(c) Is it possible for an n × n matrix A to satisfy A3 = In without A being invertible? Explain

Respuesta :

Otras preguntas

While driving in your pickup truck down Highway 280 between San Francisco and Palo Alto, an asteroid lands in your truck bed! Despite its 220 kg mass, the aster

Helppppp asap!!!!! Solve the inequality 4−23x>2−x for x. Show your work below.

Randi wants to hire five workers for her factory. She is finding that the people who live in the same county as the factory lack the skills needed to perform th

A body falls from rest with an acceleration of 10m/s square. what is the velocity after 5s?How far has it fallen by them.

Preheat and postheating are necessary when welding gray cast iron. * True False

How many cattle raising regions are there in the U.S.

Directions Solve these problems. 26. Tuesday's temperature was -3°E. On Wednesday the temperature was -7°E Which day was warmer?

True or False: the relationship shown in the mapping diagram is a function

How can you determine an independent contractor? A. Independent contractors have an interview and a daily schedule b. Their work and work hours are minimally co

LammettHash LammettHash · Answer 1 · 2019-10-17T17:49:21+02:00

LammettHash LammettHash

17-10-2019

If [tex]A^3=I[/tex], then [tex]A^3=AA^2=I[/tex] which means [tex]A[/tex] and [tex]A^2[/tex] must be inverses of one another, so [tex](A^2)^{-1}=A[/tex] and [tex]A^{-1}=A^2[/tex], so [tex]A[/tex] must be invertible.

Answer Link