hfrench5400 hfrench5400
  • 03-07-2019
  • Mathematics
contestada

suppose the column of the square matrix is linearly independent. What are solutions of Ax=0?

Respuesta :

SociometricStar
SociometricStar SociometricStar
  • 09-07-2019

Answer:

the solution is x = 0

Step-by-step explanation:

We know the fact that if the column of the square matrix is linearly independent then the determinant of the matrix is non zero.

Now, since the determinant of the matrix is not zero then the inverse of the matrix must exists.

Therefore, we have

[tex]A^{-1}A=I....(i)[/tex]

Now, for the equation Ax =0

multiplying both sides by [tex]A^{-1}[/tex]

[tex]A^{-1}Ax=A^{-1}\cdot0[/tex]

From equation (i)

[tex]Ix=0\\\\x=0[/tex]

Therefore, the solution is x = 0

Answer Link

Otras preguntas

From the figure below, the coordinates for point z are: HELP PLS
Two non-metal atoms bond together. Which type of bond will they form? A. lonic B. Round Bond C. Covalent D. Glue​
Are all pleasures commensurable? Can they be evaluated on a single scale? Can some goods, like friendships, be balanced against other goods, like money?​
A local little league has a total of 75 players, of whom 20% are left-handed. How many left-handed players are there?
what is silicon used for?​
fossil fuels are what resource
what is 2/3i-3 simplified?
kacey likes to mountain bike, intill she can’t bike anymore.
How can we make our country an ideal country
PLEASE HELP!! Part C Identify the correct pronoun in parentheses and its antecedent. 1. Everyone should work hard at (their, his or her) job. 2. Each of the chi