Powers of a matrix
❖ In the lesson, we have explained the Powers of a matrix. ❖ The power A^n of a matrix A for n a nonnegative integer n is defined as the matrix product of n copies of A, where A is a square matrix (for example the size of A can be 2x2, 3x3, and so on). A^0 is defined to be the identity matrix of the same size, where A^0=I_n ( I_n is nxn an identity matrix with the same size as A). ❖ The number of rows and columns that a matrix has is called its size, its order, or its dimension. 0:00 ❖ Introduction 2:17 Rules of powers of a matrix 13:25 Note 18:25 Solve 1 25:28 Solve 2 The link to this playlist (Linear Algebra): • Linear Algebra My Website: https://www.Mulkek.com Subscribe to My Channel to check out for more videos: / mulkek
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