Since a is triangular the sum along the diagonal det

Since A is triangular, the sum along the
diagonal.
det( A ) = 0.
det( A ) = 0.
det( A ) = 0.
det( A ) = (1)(8)(0)(−4) = 0,
det( A ) = 1 + 8 + 0 + (−4) = 5,

11/30/2017 UW Common Math 308 Section 5.1
8. 2/2 points | Previous Answers HoltLinAlg2 5.1.039.
Find det( A ). No cofactor expansions are required.
4/10
Explain your answer.
det( A ) = 0
9. 2/2 points | Previous Answers HoltLinAlg2 5.1.048.
Determine all possible real values of
λ
such that for the given matrix A . (Enter your
answers as a comma-separated list. If an answer does not exist, enter DNE.)
10. 3/3 points | Previous Answers HoltLinAlg2 5.1.050.
Find all possible real values
λ
such that (Enter your answers as a comma-separated
list. If an answer does not exist, enter DNE.)

11/30/2017 UW Common Math 308 Section 5.1
11. 5/5 points | Previous Answers HoltLinAlg2 5.1.053.
For each given matrix A , first compute det( A ). Then interchange two rows of your choosing and compute
the determinant of the resulting matrix A '.
(a)
(b)
Form a conjecture about the effect of row interchanges on determinants.
A =
4
− 3 5
det( A ) = 26
det( A' ) = -26
A =
1 3 −1
2 0 3
0 1 −1
det( A ) =
det( A' ) = -1
2
1
5/10