How to find unknown values in a matrix?

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To find unknown values in a matrix, expanding the determinant is suggested as a method. This approach can lead to an equation that helps solve for combinations of variables, such as x and y. Participants agree on the utility of this technique in addressing the problem. The discussion emphasizes the importance of understanding matrix determinants in solving for unknowns. Utilizing the determinant effectively can simplify the process of finding solutions.
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Homework Statement


how to find this
ELI2K5K.png


Homework Equations


none

The Attempt at a Solution


determinant??
 
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red1312 said:

Homework Statement


how to find this
ELI2K5K.png


Homework Equations


none

The Attempt at a Solution


determinant??
Yes, expand the determinant. That should give you an equation that may let you solve for combinations of x and y that satisfy the equation... :smile:
 
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berkeman said:
Yes, expand the determinant. That should give you an equation that may let you solve for combinations of x and y that satisfy the equation... :smile:
thanks :)
 
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I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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