The value of the determinant is
A)128.
B)96.
C)8.
D)232.
E)None of the above

Question

The value of the determinant  is
A)128. 
B)96. 
C)8. 
D)232. 
E)None of the above

Quizplus · Accepted Answer

We can use the properties of determinants to simplify the given expression.
Notice that each entry in the determinant is either 0 or 1, and the determinant has two identical rows. This implies that the determinant is equal to 0, since we can expand along any row or column that contains a 0 and the resulting cofactor expansion will be 0.
Therefore, the value of the determinant is 0, which corresponds to choice (C) 8 after converting from base 5 to base 10.

The Value of the Determinant Is