![]() ![]() Reggio is the seat, since 1907, of the Archeological Superintendence of Bruttium and Lucania. Reggio, with Naples and Taranto, is home to one of the most important archaeological museums, the prestigious National Archaeological Museum of Magna Græcia, dedicated to Ancient Greece (which houses the Bronzes of Riace, rare example of Greek bronze sculpture, which became one of the symbols of the city). It is a major economic centre for regional services and transport on the southern shores of the Mediterranean. The seismicity is caused by Reggio being on the Eurasian Plate near the faultline where it meets the African Plate that runs through the strait, dividing the two European regions of Calabria and Sicily into two different tectonic regions. Before that seismic event, the region has been subject to several other previous earthquakes. Reggio has a modern urban system, set up after the catastrophic earthquake of 1908, which destroyed most of the city. Reggio is the oldest city in the region, and during ancient times, it was an important and flourishing colony of Magna Graecia. It is situated on the slopes of the Aspromonte, a long, craggy mountain range that runs up through the centre of the region.Īs a major functional pole in the region, it has strong historical, cultural and economic ties with the city of Messina, which lies across the strait in Sicily, forming a metro city of less than 1 million people. Reggio is located on the "toe" of the Italian Peninsula and is separated from the island of Sicily by the Strait of Messina. About 560,000 people live in the metropolitan area, recognised in 2015 by Italy as a metropolitan city. It is the third economic centre of mainland Southern Italy. ![]() Reggio Calabria is located in the exact center of the Mediterranean and is known for its climate, ethnic and cultural diversity. It has an estimated population of nearly 200,000 and is the twenty-first most populous city in Italy, after Modena, and the 100th most populated city in Europe. Reggio di Calabria ( Southern Calabrian: Riggiu Calabrian Greek: Ρήγι, romanized: Rìji), usually referred to as Reggio Calabria, or simply Reggio by its inhabitants, is the largest city in Calabria. ![]()
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![]() ![]() This part of the fundamental theorem allows one to immediately find a basis of the subspace in question. V V V is an n × n n \times n n × n unitary matrix.∑ \sum ∑ is an m × n m \times n m × n matrix with nonnegative values on the diagonal.U U U is an m × m m \times m m × m unitary matrix.The final part of the fundamental theorem of linear algebra constructs an orthonormal basis, and demonstrates a singular value decomposition: any matrix M M M can be written in the form U ∑ V T U\sum V^T U ∑ V T, where This is true because any vector in the nullspace is orthogonal to each row vector by definition, so it is also orthogonal to any linear combination of them. In other words, if v v v is in the nullspace of A A A and w w w is in the row space of A A A, the dot product v ⋅ w v \cdot w v ⋅ w is 0. The left nullspace and the column space are also orthogonal. To solve a system of equations Axb, use Gaussian elimination. The research presented in this paper grows out of a study that investigated the interaction and integration of students conceptualizations of key ideas in linear algebra, namely, subspace, linear independence, basis, and linear transformation. The null space of A is the set of all solutions x to the matrix-vector equation Ax0. ![]() ![]() The nullspace and row space are orthogonal. conceptualizing subspace and interacting with its formal definition. The second part of the fundamental theorem of linear algebra relates the fundamental subspaces more directly: This first part of the fundamental theorem of linear algebra is sometimes referred to by name as the rank-nullity theorem. Support maintaining this website by sending a gift through Paypal and using my e-mail. Is 2, and the dimension of the nullspace of A A A is n − r = 4 − 2 = 2 n - r = 4 - 2 = 2 n − r = 4 − 2 = 2. Linear algebra questions with solutions and detailed explanations on matrices, spaces, subspaces and vectors, determinants, systems of linear equations and online linear algebra calculators are included. Equivalently, the column space consists of all matrices A x Ax A x for some vector x x x.įor this reason, the column space is also known as the image of A A A ( \big( (denoted im ( A ) ), \text A = ⎝ ⎛ 1 2 3 2 0 4 3 6 9 3 2 7 ⎠ ⎞ The column space of a matrix A A A is the vector space formed by the columns of A A A, essentially meaning all linear combinations of the columns of A A A. ![]() |
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