Mathematics

Mathematics

Problem

Let AA be a 3×k3\times k matrix, BB a k×4k\times 4 matrix and CC a 4×n4\times n matrix, where kk and nn are positive integers. For which value of nn is the product ABCABC defined and also a square matrix? a) n=4n = 4 b) n=3n = 3 c) Any positive integer nn d) n=kn = k

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