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A **set** is a **well-defined collection of distinct objects**, called **elements**.
The **inverse of a matrix** `A` is another matrix `A⁻¹` such that:
The **transpose of a matrix** is obtained by interchanging its rows and columns.
Cofactors are derived from **minors** and incorporate a sign pattern that is essential in determinant expansion.
The **adjoint of a matrix** is the **transpose of its cofactor matrix**.
A **non-singular matrix** is particularly important because it ensures **unique solutions** and supports reliable mathematical operations.
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