Question
Prove directly that the $2 \times 2$ determinant formula (1.38) satisfies the four determinant axioms listed in Theorem 1.50.
Step 1
The $2 \times 2$ determinant formula for a matrix \( A = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \) is given by: \[ \det(A) = ad - bc. \] The four determinant axioms from Theorem 1.50 are: Show more…
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