Powers of a matrix











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❖ 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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