Tackley3910 Tackley3910
  • 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 :

LammettHash
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

Otras preguntas

Answer this quick !!!
First right answer marked Brainliest What is the intersection of A and F and B and D point C point E point A point D
GIVING BRAINLIEST!! Does anybody have the answers to these questions?
Solve for x. √4x−24−=x−6 Enter your answers in the boxes.
_______ is the arrangement of elements in a work of art to create a sense of stability. balance emphasis harmony variety PLEASE HELP
Con you reduce your impairment by drinking coffee or cold showers true or false
If Arc BE in the coordinate system below is the arc of a circle with the center at the origin, what is the length of AB?A.3 B4 C.5​help pls
Convert 30.0g of water to moles please help
How much does it cost to get out of jail in monopoly.
Nicole made 36 out of 48 shots she attempted at basketball practice. What percent of the shots did she miss?