SOLUTION: Let A = a11 a21 a11 a12 a22 a12 a13 a23 a13 where aij eR for each 1<=i;j<=3: Which of the following is/are true? A. det(A) = 0 B. A is invertible

SOLUTION: Let A = a11 a21 a11 a12 a22 a12 a13 a23 a13 where aij eR for each 1<=i;j<=3: Which of the following is/are true? A. det(A) = 0 B. A is invertible

Algebra.Com

Question 892548: Let A =
a11 a21 a11
a12 a22 a12
a13 a23 a13
where aij eR for each 1<=i;j<=3: Which of the following is/are true?
A. det(A) = 0
B. A is invertible

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
If I'm interpreting your question correctly, an arbitrary 3x3 matrix of reals does not necessarily have to have determinant 0, or be invertible. However, A is invertible iff its determinant is nonzero, so exactly one of A or B is true.
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