The value of |C| (determinant of matrix C) is -2
From the question,
We are to determine the value of |C|,
That is, the determinant of matrix C
The image shows that matrix C is a 2 x 2 matrix.
To calculate the determinant of a 2 x 2 matrix,
We will multiply the elements in the top-left and bottom-right diagonal
Then, from this, we will subtract the product of the elements in the bottom-left and top-right diagonal.
That is,
|C| = (-3 × 4) - (-2 × 5)
|C| = -12 - (-10)
|C| = -12 + 10
|C| = -2
Hence, the value of |C| (determinant of matrix C) is -2
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