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Suppose A, B, and C are invertible n×n matrices and AB = C. What is the value of n?

User Chetna
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Final answer:

The value of n for matrices A, B, and C being invertible n×n matrices where AB = C is undefined; n can be any positive integer, indicating the dimension of the square matrices.

Step-by-step explanation:

The value of n in the equation where matrices A, B, and C are invertible and AB = C cannot be determined solely from the information given. The only requirement for matrix multiplication to be possible is that the matrices A and B are square matrices of the same size, thus both being n × n. This tells us that n can be any positive integer, as long as A and B are square matrices of the same dimension and both are invertible, which is already stated in the problem.

The subject of this question is Mathematics, particularly dealing with matrix algebra and multiplication properties of matrices in Linear Algebra, a subject typically covered at the college level.

User Yam Tal
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