How to Evaluate the Matrix Expression P²﹣2P + 4I

In this video, we break down how to solve and evaluate the matrix expression P^2 - 2P + 4I given a 2 times 2 matrix $P$. If you're doing this by squaring the matrix from scratch, you're taking too long! We will show you the standard step-by-step row-by-column multiplication method, and then reveal a powerful linear algebra shortcut that lets you solve the entire problem in under 10 seconds.What you will learn in this video:How to square a 2 times 2 matrix using standard row-by-column multiplication.What a unit (identity) matrix I is and how to use it in expressions.How to add and subtract scalar matrices together.The Exam Shortcut: Using the Cayley-Hamilton Theorem to completely skip matrix multiplication and find the answer instantly! please give it a 👍 LIKE, SUBSCRIBE for more quick math tricks, and drop a comment below if you want to see more exam shortcuts!#MatrixExpressions #LinearAlgebra #MathTricks #Matrices #ExamPrep #HighSchoolMath