Mentalhealth
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:
Menelik II, Emperor of Ethiopia from 1889 to 1913, faced several challenges and criticisms during his reign. It's important to note that perspectives on his successes and failures vary. Some argue that he failed certain groups or in specific areas:
- Ethiopian Unity: While Menelik II is credited with expanding and unifying Ethiopia, his expansionist policies sometimes involved the subjugation of other ethnic groups. Some groups were incorporated through conquest, which caused long-term resentment. britannica.com
- Slavery: Despite efforts to curb the slave trade, slavery persisted in Ethiopia during his reign. The complete eradication of slavery faced resistance due to economic and social factors. jstor.org
- Modernization Limitations: While Menelik II introduced modernization projects like railways, schools, and infrastructure, the pace and extent of these changes were sometimes seen as limited. Modernization did not always reach all parts of the empire equally. oxfordre.com
Different groups within Ethiopian society and historians may have varying opinions on whether Menelik II "failed" them. His legacy is complex and subject to interpretation.
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.