Calculate the determinant of H = [[5, 4], [2, 3]]. (2021)
Practice Questions
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Calculate the determinant of H = [[5, 4], [2, 3]]. (2021)
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Questions & Step-by-Step Solutions
Calculate the determinant of H = [[5, 4], [2, 3]]. (2021)
Step 1: Identify the elements of the matrix H. The matrix H is [[5, 4], [2, 3]].
Step 2: Write down the formula for the determinant of a 2x2 matrix. The formula is Det(H) = (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 = 5, b = 4, c = 2, and d = 3.
Step 4: Substitute the values into the formula: Det(H) = (5*3) - (4*2).
Step 5: Calculate the first part: 5*3 = 15.
Step 6: Calculate the second part: 4*2 = 8.
Step 7: Subtract the second part from the first part: 15 - 8 = 7.
Step 8: The determinant of the matrix H is 7.
Determinant Calculation – The determinant of a 2x2 matrix is calculated using the formula Det(H) = ad - bc, where H = [[a, b], [c, d]].
