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If the entries of A and A 1 are all integers, how do you know that both determinants are
Chapter 4, Problem 4.5(choose chapter or problem)
QUESTION:
If the entries of A and A 1 are all integers, how do you know that both determinants are 1 or 1? Hint: What is detA times detA 1 ?
Questions & Answers
QUESTION:
If the entries of A and A 1 are all integers, how do you know that both determinants are 1 or 1? Hint: What is detA times detA 1 ?
ANSWER:Step 1 of 2
It is given that the entries of and are all integers.
To prove that both determinants are or .
The inverse of a matrix is determined as,
.
And,
.