Find the variable for the following 3x3 matrix.
|x 3 -1
2 1 -2
4 1 x|
Note: This entire matrix =10
I need help with this ASAP. Thanks so much!
Did you mean the determinant of the matrix is 10 ?
Yes.
I don't know what method you have learned to find the determinant, but I get
x^2 - 4x - 22 = 10
x^2 - 4x - 32 = 0
(x-8)(x+4) = 0
x=8 or x=-4
To find the value of the variable 'x' in the 3x3 matrix, you need to use the equation stating that the sum of all the elements in the matrix is equal to 10.
Let's add up all the elements in the matrix and set the sum equal to 10:
x + 3 + (-1) + 2 + 1 + (-2) + 4 + 1 + x = 10
Now, combine like terms:
2x + 8 = 10
Subtract 8 from both sides of the equation:
2x = 2
Finally, divide both sides of the equation by 2 to isolate the variable 'x':
x = 1
Therefore, the value of the variable 'x' in the given matrix is 1.