Solving Matrix A: Find All Values of a

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In summary, a matrix is a rectangular grid of numbers, symbols, or expressions used in math and computer science to represent and solve systems of equations. Matrix A refers to a specific matrix in a given problem, and its values can be solved using methods such as Gaussian elimination or matrix inversion. Multiple solutions are possible for matrix A, and it has many real-life applications in fields such as engineering, physics, and computer graphics.
  • #1
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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  • #2
I don't understand why you are stuck.
You don't know how to calculate determinants or solve equations?
 
  • #3
I don't know how to solve the equation
 
  • #4
[tex]\[
\left| {\left. {\bf{A}} \right|} \right. = 285 - 48a - 7a^2 = 0
\]
[/tex]
You can't solve that?
 
  • #5
oh, now I feel dumb. Thanks for the help!
 

FAQ: Solving Matrix A: Find All Values of a

What is a matrix?

A matrix is a collection of numbers, symbols, or expressions arranged in a rectangular grid, with rows and columns. It is commonly used in mathematics and computer science to represent and solve systems of equations.

What is matrix A?

Matrix A refers to a specific matrix that is being worked with or referred to in a given problem or equation. It is usually represented by a capital letter and can contain any number of rows and columns.

How do I solve for the values of a in matrix A?

To solve for the values of a in matrix A, you can use various methods such as Gaussian elimination, Cramer's rule, or matrix inversion. These methods involve manipulating the given matrix using mathematical operations until the values of a are determined.

Can there be multiple solutions for matrix A?

Yes, there can be multiple solutions for matrix A depending on the given equations and constraints. In some cases, there may be an infinite number of solutions, while in others there may be no solution at all.

What are some real-life applications of solving matrix A?

Solving matrix A has many real-life applications, such as in engineering, physics, and computer graphics. It is used to solve systems of linear equations, analyze networks and circuits, and create 3D computer models, among other things.

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