the question asked to indicate whether the statement is t/f.and the statement is
ID: 2939992 • Letter: T
Question
the question asked to indicate whether the statement is t/f.and the statement is stated below:
There is no square matrix A such that det(AA^T) = -1. i knowthe answer is true from the back of the book, but why?
my interpretation: there is one theorem says let A be a squarematrix. then det(A) = det(A^T). and that makes the R.H.S alwaysbecome positive. and since the statement says the there is nosquare matrix, so the R.H.S could be negative, that is -1.
the question asked to indicate whether the statement is t/f.and the statement is stated below:
There is no square matrix A such that det(AA^T) = -1. i knowthe answer is true from the back of the book, but why?
my interpretation: there is one theorem says let A be a squarematrix. then det(A) = det(A^T). and that makes the R.H.S alwaysbecome positive. and since the statement says the there is nosquare matrix, so the R.H.S could be negative, that is -1.
Explanation / Answer
Yes, your correct !
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