Problem 55
Question
Explain how to evaluate a second-order determinant.
Step-by-Step Solution
Verified Answer
To evaluate a second-order determinant, identify the elements of the matrix, then apply the formula ad - bc.
1Step 1: Identify the elements
In a 2x2 matrix, four elements can be identified. These are denoted as simply 'a', 'b', 'c', and 'd'. The matrix has the form: \[ \begin{matrix} a & b \ c & d \end{matrix} \].
2Step 2: Apply the formula
Once the elements of the matrix have been identified, apply the formula for a second-order determinant, which is ad - bc.
3Step 3: Calculate the Result
Perform the multiplication operations first, then subtract the results in accordance with the formula. This will yield the value of the second-order determinant.
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