Complexity Explorer Santa Fe Institute

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Vector and Matrix Algebra

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2.5 Determinants » Quiz #14 Solution

Question 1: Recall that the determinant of a diagonal matrix is simply the product of the diagonal elements.  Here, that product is (1) (5) (9) = 45.

 

Question 2:  Recall that the determinant of the product of two matrices is equal to the product of the determinants.   Here we have det(BC) = det(B)det(C) = (-4)(-3) = 12.