Answer
a) False
b) False
c) True
d) False
Work Step by Step
a) |det A| is the volume
b) $detA^T=detA$
c) True
d) False. Consider the identity matrix which has eigenvalues 1 and $2I$ which has eigenvalues 2
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.