Probability

No, a square matrix A is not invertible if its determinant |A| is equal to 0. A matrix is invertible (also known as non-singular or non-degenerate) if and only if its determinant is non-zero. If the determinant is zero, the matrix is singular and does not have an inverse.

Invertibility requires that the matrix represents a transformation that can be "undone." When the determinant is zero, it means the matrix collapses space (or at least reduces its dimension), making it impossible to reverse the transformation uniquely.

You can explore more about invertible matrices and their properties on websites such as:

• MathWorld: Invertible Matrix
• Wikipedia: Invertible Matrix

The term "wild man" has a few different interpretations and historical contexts:

• Mythological/Folklore Creature: In European folklore, the "wild man" (also known as a "woodwose" or "wudewasa") is a mythical figure resembling a hairy, primitive human or hominid, often associated with the forest. They were typically depicted as living outside of civilization and embodying untamed nature.
• Historical Encounters: Throughout history, there have been accounts of individuals living in the wilderness, isolated from society. These accounts sometimes led to the "wild man" label, although these were cases of feral children or hermits who had chosen to live apart from others.
• Figurative Use: The term can also be used figuratively to describe someone with uncivilized or savage behavior.