What is the determinant of 1/10 1/5
1/8 1/3 as a fraction
To find the determinant of a 2x2 matrix, you can use the formula:
det = (a*d) - (b*c)
Here's how to calculate the determinant of the given matrix step by step:
1. Identify the elements of the matrix:
a = 1/10, b = 1/5, c = 1/8, d = 1/3
2. Substitute these values into the determinant formula:
det = (1/10 * 1/3) - (1/5 * 1/8)
3. Simplify the products:
det = (1/30) - (1/40)
4. Find a common denominator:
det = (4/120) - (3/120)
5. Combine the fractions:
det = (4 - 3) / 120
6. Simplify further:
det = 1 / 120
Therefore, the determinant of the given matrix is 1/120 as a fraction.