Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2003/paper-1/5/c/v/solution

A two-sided matrix inverse requires a square matrix, so is necessary. It exists only if that square matrix is also an invertible matrix, equivalently ; choosing the dimension alone does not ensure invertibility.

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