Page 193 - 35Linear Algebra
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8.5 Review Problems 193
Figure 8.8: A parallelepiped.
8.5 Review Problems
Reading Problems 5 ,6
Row of zeros 12
3 × 3 determinant 13
Webwork:
Triangular determinants 14,15,16,17
Expanding in a column 18
Minors and cofactors 19
1. Find the determinant via expanding by minors.
2 1 3 7
6 1 4 4
2 1 8 0
1 0 2 0
T
T
2. Even if M is not a square matrix, both MM and M M are square. Is
T
T
it true that det(MM ) = det(M M) for all matrices M? How about
T
T
tr(MM ) = tr(M M)?
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