Final answer:
The determinant of the given 2x2 matrix, denoted as |C|, is calculated using the formula |C| = (ad - bc). For the provided matrix, the determinant |C| is 9.
Step-by-step explanation:
The value of |C| for a matrix refers to the determinant of that matrix. Given a 2x2 matrix:
6 3
5 4
To calculate the determinant (denoted as |C
|) of this matrix, you use the formula:
|C| = (ad - bc)
where 'a' is the value in the first row, first column; 'b' is the value in the first row, second column; 'c' is the value in the second row, first column; and 'd' is the value in the second row, second column of the matrix.
So for the given matrix, we have:
|C| = (6*4 - 3*5) = 24 - 15 = 9
Therefore, the value of |C| is 9.