Prove that matrix multiplication is associative; that is,
Chapter 5, Problem 11(choose chapter or problem)
Prove that matrix multiplication is associative; that is, prove that if A is an \(n \times p\) matrix, B is a \(p \times r\) matrix and C is an \(r \times m\) matrix, then \(\mathbf {A} \cdot (\mathbf {B} \cdot \mathbf {C}) = (\mathbf {A} \cdot \mathbf {B}) \cdot \mathbf {C}\).
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