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Explore the concept of the identity matrix, its properties, and how it behaves when multiplied with other matrices. Examples provided for better comprehension.
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Matrices - The Identity Matrix • The identity matrix of order 2 is given by ... • The identity matrix of order 3 is given by ... • Note that the identity matrix is formed by making each entry on the main diagonal of a square matrix equal to 1 ... and all other entries are zeros. • When the identity matrix is multiplied times any square matrix A of the same order, the result is matrix A.
Matrices - The Identity Matrix • Example 1: • Let matrix A be given by ... Find the products AI and IA. Slide 2
Matrices - The Identity Matrix • Example 2: • Let matrix B be given by ... Find the product IB. Slide 3
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