Matrix problem help. solve the remaining equation and find the value(s) for x

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In summary, the conversation discusses solving a matrix equation with a determinant of zero and the resulting quadratic equation that can be obtained from it. The solution involves finding the values of a, b, and c and plugging them into the quadratic formula to obtain a numerical answer.
  • #1
flatty
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Homework Statement


| x 0 c|
| -1 x b| = 0
| 0 -1 a|

Homework Equations





The Attempt at a Solution


As best as I can tell I would end up with x * (xa - (-1b)) and -1c and then I would end up with Ax^2 + BX + C which leaves me confused am I looking at a quadratic equation for the answer or is there a way to get numerical values out of it?
 
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  • #2
flatty said:

Homework Statement


| x 0 c|
| -1 x b| = 0
| 0 -1 a|

Homework Equations





The Attempt at a Solution


As best as I can tell I would end up with x * (xa - (-1b)) and -1c and then I would end up with Ax^2 + BX + C which leaves me confused am I looking at a quadratic equation for the answer or is there a way to get numerical values out of it?
Your problem statement says that the determinant of your matrix is zero.

What equation represents this?
 
  • #3
I presume you are taking the determinant and setting it equal to zero. If so, what you've done looks right. Remember the solution to a quadratic equation? Also, you can only get a numerical answer if you know the values of a,b,c. Otherwise, the answer will be an expression involving a,b,c.
 
  • #4
0=x*(xa-(-1b))-(-1*c)

I am using det(a)=A11(A22*A33-A23*A32)-A12(A21*A33-A23*A31)+A13(A21*A32-A22*A31)

Yes it is equal to zero sorry, new here.

Ax^2+bx+c=0 so I am assuming my answer would be x = [-b ± √(b^2 - 4ac) ]/2a
 
  • #6
thanks
 

FAQ: Matrix problem help. solve the remaining equation and find the value(s) for x

What is a matrix problem?

A matrix problem is a mathematical problem that involves manipulating and solving equations using matrices, which are rectangular arrays of numbers or variables.

How do I solve a matrix problem?

To solve a matrix problem, you need to use various matrix operations such as addition, subtraction, multiplication, and inversion. These operations allow you to manipulate the equations to find the values of the variables.

3. What is the remaining equation in a matrix problem?

The remaining equation in a matrix problem is the equation that has not been solved yet. It typically contains one or more variables that need to be solved for using the given information and matrix operations.

4. How do I find the value(s) for x in a matrix problem?

The value(s) for x in a matrix problem can be found by first solving the remaining equation using matrix operations. Once the remaining equation is solved, the value(s) for x can be determined by plugging in the solved values for the variables in the original equations.

5. What are some common strategies for solving matrix problems?

Some common strategies for solving matrix problems include using the elimination method, the substitution method, or the Gaussian elimination method. It is also important to carefully organize the equations and keep track of the matrix operations being used.

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