Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

note the inverted wedge is (lambda). 

Let a11 a12 a13 a21 a22 a23 a31 a32 a33 be a 3 x 3 real matrix and consider it as a linear map A: R³ R³ Compute A³(A): ^³(R³) → ^³(R³) with respect to the standard basis of R³ and verify that the usual formula for the determinant of a 3 × 3 matrix holds A =
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Transcribed Image Text:Let a11 a12 a13 a21 a22 a23 a31 a32 a33 be a 3 x 3 real matrix and consider it as a linear map A: R³ R³ Compute A³(A): ^³(R³) → ^³(R³) with respect to the standard basis of R³ and verify that the usual formula for the determinant of a 3 × 3 matrix holds A =
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