[amp_mcq option1=”BT = -B” option2=”BT = B” option3=”B-1 = B” option4=”B-1 = BT” correct=”option1″]<\/p>\n
The correct answer is A. $BT = -B$.<\/p>\n
A skew-symmetric matrix is a square matrix $B$ such that $BT = -B$. In other words, the transpose of a skew-symmetric matrix is its negative.<\/p>\n
Option B is not correct because the transpose of a symmetric matrix is itself.<\/p>\n
Option C is not correct because the inverse of a skew-symmetric matrix is not necessarily skew-symmetric.<\/p>\n
Option D is not correct because the transpose of the inverse of a matrix is the inverse of the transpose of the matrix.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”BT = -B” option2=”BT = B” option3=”B-1 = B” option4=”B-1 = BT” correct=”option1″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[489],"tags":[],"class_list":["post-20008","post","type-post","status-publish","format-standard","hentry","category-linear-algebra","no-featured-image-padding"],"yoast_head":"\n