# Linear Algebra II

May 29th, 2015
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Question 3 (Hard) Consider the following commutative diagram:A → B → C → D → E ↓q ↓r ↓ s ↓t ↓u A’→ B’ → C’ → D’→ E’where A, B, C, D, E, A’, B’, C’, D’, E’ are vector spaces (possibly infinite-dimensional),

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Assignment: 1 Course: Engineering geology and seismologyTopic: Minerals (antimony, fire clay and silica sand)Date: 23rd September, 2013Submitted to: Dr. NaveedSubmitted by: Jawairia A. Ahmad Class no.2 Section-A 5th semester Antimony Antimony is a chemical element with symbol Sb and atomic number 51. It was established to be an element around the 17th century.Etymology: The word antimony is derived from the Medieval Latin word 'antimonium'. Originally this element was called stibium (Latin). The etymology is uncertain; the popular etymology, from anti-monachos or French antimoine, still has adherents; this would mean "monk-killer", and is explained by many early alchemists being monks, and antimony being poisonous. Another popular etymology is the hypothetical Greek word antimonos, "against aloneness", explained as "not found as metal", or "not found unalloyed.Commonly it is called tin.Occurrence: Its geological setting is hydrothermal veins. The abundance of antimony in the Earth's crust is estimated at 0.2 to 0.5 parts per million. Even though this element is not abundant, it is found in over 100 mineral species. Antimony is sometimes found natively, but more frequently it is found in the sulphide stibnite (Sb2S3) which is the predominant ore mineral.

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