Let a11 a12 a13 A = a21 a22 a23 a31 a32 a33 3 x 3 real matrix and consider it as a linear map A: R³ R³ oute ^³(A) : ^³(R³) → ^³(R³) with respect to the standard basis of R³ and verify sual formula for the determinant of a 3 × 3 matrix holds

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