World History
The fastest runner in the insect world is the Australian tiger beetle, Cicindela hudsoni.
It can reach speeds of up to 9 km/h (5.6 mph) or 120 body lengths per second.
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For comparison, the fastest human sprinter, Usain Bolt, reached a top speed of 44.72 km/h, which is about 5 body lengths per second. Source
A single word to describe a large group of soldiers "all in" could be:
- Battalion:
- Regiment:
- Troops:
- Garrison: A body of troops stationed in a fortified place.
- Army: The main organized land force of a nation or state.
The best choice depends on the specific context.
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: