Calculate the determinant of D = [[4, 2], [1, 3]]. (2020)
Practice Questions
Q1
Calculate the determinant of D = [[4, 2], [1, 3]]. (2020)
10
8
6
12
Questions & Step-by-Step Solutions
Calculate the determinant of D = [[4, 2], [1, 3]]. (2020)
Step 1: Identify the elements of the matrix D. The matrix D is [[4, 2], [1, 3]].
Step 2: Write down the formula for the determinant of a 2x2 matrix. The formula is: determinant = (a * d) - (b * c), where the matrix is [[a, b], [c, d]].
Step 3: Assign the values from the matrix to the variables in the formula. Here, a = 4, b = 2, c = 1, and d = 3.
Step 4: Substitute the values into the formula: determinant = (4 * 3) - (2 * 1).
Step 5: Calculate the first part: 4 * 3 = 12.
Step 6: Calculate the second part: 2 * 1 = 2.
Step 7: Subtract the second part from the first part: 12 - 2 = 10.
Step 8: The determinant of the matrix D is 10.
Determinant of a 2x2 Matrix – The determinant of a 2x2 matrix [[a, b], [c, d]] is calculated using the formula ad - bc.
