Find the determinant of E = [[4, 2], [1, 3]]. (2023)
Practice Questions
Q1
Find the determinant of E = [[4, 2], [1, 3]]. (2023)
10
8
6
12
Questions & Step-by-Step Solutions
Find the determinant of E = [[4, 2], [1, 3]]. (2023)
Step 1: Identify the elements of the matrix E. The matrix E is [[4, 2], [1, 3]].
Step 2: Write down the formula for the determinant of a 2x2 matrix. The formula is Det(E) = (a*d) - (b*c), where a, b, c, and d are the elements of the matrix.
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. Det(E) = (4*3) - (2*1).
Step 5: Calculate the first part of the formula: 4*3 = 12.
Step 6: Calculate the second part of the formula: 2*1 = 2.
Step 7: Subtract the second part from the first part: 12 - 2 = 10.
Step 8: Write down the final result. The determinant of E is 10.
Determinant of a 2x2 Matrix – The determinant of a 2x2 matrix [[a, b], [c, d]] is calculated using the formula ad - bc.
