\input zb-basic \input zb-matheduc \iteman{ZMATH 2015f.00774} \itemau{Pankavich, Stephen; Swanson, Rebecca} \itemti{Principal component analysis: resources for an essential application of linear algebra.} \itemso{PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 25, No. 5, 400-420 (2015).} \itemab Summary: Principal Component Analysis (PCA) is a highly useful topic within an introductory Linear Algebra course, especially since it can be used to incorporate a number of applied projects. This method represents an essential application and extension of the Spectral Theorem and is commonly used within a variety of fields, including statistics, neuroscience, and image compression. We present a synopsis of PCA and include a number of examples that can be used within upper-level mathematics courses to engage undergraduate students while introducing them to one of the most widely used applications of linear algebra. \itemrv{~} \itemcc{H65 K45 M55 M65 R45} \itemut{linear algebra; principal component analysis; data analysis; neuroscience; image compression} \itemli{doi:10.1080/10511970.2014.993446} \end