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Prove that and are equivalent by showing that they represent the same vector.
-R = (-1, 3), S = (-10, 5), O = (3, -1), and P = (-6, 1)
Economic Collapse
A severe and sudden breakdown in a country's economy, characterized by significant decline in economic activity, high unemployment, and financial instability.
Late Eleventh Century
The period extending from the year 1060 to 1100, marked by significant historical events such as the beginning of the Crusades and the Norman Conquest of England in 1066.
Ghana
A country in West Africa known for its diverse wildlife, old forts, secluded beaches, colonial buildings, and being the first African nation to gain independence from colonial rule in 1957.
European Serfs
Peasants under feudalism, particularly in medieval Europe, who were bound to cultivate their lord's land and were subject to his control, though not owned as slaves.
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