C

2000018406

Level: 
C
Which matrix from \(A\), \(B\), \(C\) and \(D\) does not have a determinant equal to zero? \[\] $A=\left( \array{ 1 & 2& 5\cr 1 & 3& 6\cr 1 & 4 & 7\cr } \right),$ $B=\left( \array{ 1 & 2& 3\cr 0 & 1& -1\cr 2 & 4 & 6\cr } \right),$ $C=\left( \array{ 1 & 1& 1\cr 2 & 3& 4\cr 15 & 16 & 17\cr } \right),$ $D=\left( \array{ 1 & 2& 5\cr 1 & -4& -6\cr 1 & -4 & 7\cr } \right)$
\(D\)
\(A\)
\(B\)
\( C\)

2000018402

Level: 
C
Which two of the matrices, \(A\), \(B\), and \(C\) have the same determinant? \[ A=\left( \array{ 1 & 3& 5\cr 5 & 3& 2\cr 1 & 5 & 3\cr } \right),~ B=\left( \array{ 1 & 2& 5\cr 5 & 3& 3\cr 1 & 5 & 3\cr } \right),~ C=\left( \array{ 1 & 5& 1\cr 3 & 3& 5\cr 5 & 2 & 3\cr } \right) \]
\(A\) and \(C\)
\(A\) and \(B\)
\(B\) and \(C\)
none