Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Signature matrix
open-in-new
<h2 id="properties">Properties</h2> <p>If A is a matrix of N*N then: </p> <ul><li> − N ≤ tr ( A ) ≤ N {\displaystyle -N\leq \operatorname {tr} (A)\leq N} (Due to the diagonal values being -1 or 1)</li> <li>The <a href="/facts/Determinant/eGYqJ2TF">Determinant</a> of A is either 1 or -1 (Due to it being diagonal)</li></ul> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/Metric_signature/w8d57bQG">Metric signature</a></li> <li><a href="/facts/Signature_(matrix)/3dyKLMeI">Signature (matrix)</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>Bapat, R. B. (2010), Graphs and matrices, Universitext, London: Springer, p. 40, doi:10.1007/978-1-84882-981-7, ISBN 978-1-84882-980-0, MR 2797201. <a href="978-1-84882-980-0" target="_blank">978-1-84882-980-0</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> </ol>