What is the value of the determinant of the matrix B = [[2, 3], [5, 7]]? (2020)

What is the value of the determinant of the matrix B = [[2, 3], [5, 7]]? (2020)

Step 1: Identify the elements of the matrix B. The matrix B is [[2, 3], [5, 7]]. This means: a = 2, b = 3, c = 5, d = 7.
Step 2: Use the formula for the determinant of a 2x2 matrix, which is: Det(B) = (a * d) - (b * c).
Step 3: Substitute the values into the formula: Det(B) = (2 * 7) - (3 * 5).
Step 4: Calculate the first part: 2 * 7 = 14.
Step 5: Calculate the second part: 3 * 5 = 15.
Step 6: Subtract the second part from the first part: 14 - 15 = -1.
Step 7: The value of the determinant of the matrix B is -1.

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