Problem: Matrix groups consist of matrices together with matrix multiplication. The general linear group GL(n, R) consists of all invertible n-by-n matrices with real entries. Its subgroups are referred to as matrix groups or linear groups. The dihedral group example mentioned above can be viewed as a (very small) matrix group. Another important matrix group is the special orthogonal group SO(n). It describes all possible rotations in n dimensions. Via Euler angles, rotation matrices are used in computer graphics.
What includes all invertible n-by-n matrices with real entries?
The answer is the following: The general linear group

Problem: In the early Sumerian Uruk period, the primitive pictograms suggest that sheep, goats, cattle, and pigs were domesticated. They used oxen as their primary beasts of burden and donkeys or equids as their primary transport animal and "woollen clothing as well as rugs were made from the wool or hair of the animals. ... By the side of the house was an enclosed garden planted with trees and other plants; wheat and probably other cereals were sown in the fields, and the shaduf was already employed for the purpose of irrigation. Plants were also grown in pots or vases."
When do the pictograms suggest Sumerians had domesticated livestock?
The answer is the following: Uruk period

Problem: At the dawn of the Grand Lodge era, during the 1720s, James Anderson composed the first printed constitutions for Freemasons, the basis for most subsequent constitutions, which specifically excluded women from Freemasonry. As Freemasonry spread, continental masons began to include their ladies in Lodges of Adoption, which worked three degrees with the same names as the men's but different content. The French officially abandoned the experiment in the early 19th century. Later organisations with a similar aim emerged in the United States, but distinguished the names of the degrees from those of male masonry.
When was the dawn of the Grand Lodge era?
The answer is the following: during the 1720s

Problem: Richmond is home to the rapidly developing Virginia BioTechnology Research Park, which opened in 1995 as an incubator facility for biotechnology and pharmaceutical companies. Located adjacent to the Medical College of Virginia (MCV) Campus of Virginia Commonwealth University, the park currently[when?] has more than 575,000 square feet (53,400 m2) of research, laboratory and office space for a diverse tenant mix of companies, research institutes, government laboratories and non-profit organizations. The United Network for Organ Sharing, which maintains the nation's organ transplant waiting list, occupies one building in the park. Philip Morris USA opened a $350 million research and development facility in the park in 2007. Once fully developed, park officials expect the site to employ roughly 3,000 scientists, technicians and engineers.
When did Philip Morris' R&D facility open?
The answer is the following:
2007