Find the determinant of J = [[5, 2], [1, 3]]. (2020)

Find the determinant of J = [[5, 2], [1, 3]]. (2020)

Step 1: Identify the matrix J, which is [[5, 2], [1, 3]].
Step 2: Write down the formula for the determinant of a 2x2 matrix, which is (a*d) - (b*c), where the matrix is [[a, b], [c, d]].
Step 3: Assign the values from the matrix J to the variables: a = 5, b = 2, c = 1, d = 3.
Step 4: Substitute the values into the determinant formula: (5*3) - (2*1).
Step 5: Calculate 5*3, which equals 15.
Step 6: Calculate 2*1, which equals 2.
Step 7: Subtract the second result from the first: 15 - 2.
Step 8: The final result is 13, which is the determinant of matrix J.

Determinant of a 2x2 Matrix – The determinant of a 2x2 matrix is calculated using the formula ad - bc, where the matrix is represented as [[a, b], [c, d]].