query: Square root of of real matrices
positive_passages.docid: 115296
positive_passages.text: Under what conditions does a matrix $A$ have a square root?
negative_passages.docid: 1750
negative_passages.text: Fredholm alternative theorem for matrices
negative_passages.docid: 140969
negative_passages.text: Limit of square root problem
negative_passages.docid: 34372
negative_passages.text: Are $10\times 10$ matrices spanned by powers of a single matrix?
negative_passages.docid: 123366
negative_passages.text: Determinant of block matrices with non-square blocks
negative_passages.docid: 69426
negative_passages.text: Checking if the roots of a function are real
negative_passages.docid: 98803
negative_passages.text: Square roots of integers and cyclotomic fields
negative_passages.docid: 36664
negative_passages.text: How is the square root function implemented?
negative_passages.docid: 13442
negative_passages.text: Find three real orthogonal matrices of order $3$ having all integer entries.
negative_passages.docid: 86603
negative_passages.text: Infinite square-rooting
negative_passages.docid: 39170
negative_passages.text: Existence of square root
negative_passages.docid: 129743
negative_passages.text: $A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
negative_passages.docid: 111432
negative_passages.text: Square root of a number squared is equal to the absolute value of that number
negative_passages.docid: 130439
negative_passages.text: Finding square roots of $\sqrt 3 +3i$
negative_passages.docid: 40154
negative_passages.text: Finding the dimension of real symmetric matrices with trace zero
negative_passages.docid: 67686
negative_passages.text: Square root of Positive Definite Matrix
negative_passages.docid: 18012
negative_passages.text: Eigenvectors of real symmetric matrices are orthogonal