Solving Matrix A: Find All Values of a

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Homework Help Overview

The discussion revolves around finding all values of the variable 'a' in a given 3x3 matrix A, specifically focusing on the conditions under which a certain property, likely related to the determinant, holds true.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of determinants and the setup of the corresponding equation. There are expressions of confusion regarding the solving process and the implications of the determinant being set to zero.

Discussion Status

The discussion includes attempts to clarify the steps needed to solve the determinant equation. Some participants express uncertainty about their understanding of the mathematical concepts involved, while others offer encouragement and guidance without providing direct solutions.

Contextual Notes

There appears to be a lack of familiarity with determinant calculations and solving polynomial equations among some participants, which may be contributing to the confusion in the discussion.

losmets90
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Given the matrix
A= [a 1 9]
[a -6 3]
[5 -8 a]

find all values of a that makes
4a602ec89d76de74a9e73df5c71e221.png

give your answers in increasing order.
a can be _ & _

NEED HELP! IM BEYOND STUCK! I have no idea to even approach this problem! Thanks!
 
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I don't understand why you are stuck.
You don't know how to calculate determinants or solve equations?
 
I don't know how to solve the equation
 
[tex]\[<br /> \left| {\left. {\bf{A}} \right|} \right. = 285 - 48a - 7a^2 = 0<br /> \][/tex]
You can't solve that?
 
oh, now I feel dumb. Thanks for the help!
 

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