Group Field Galois field GF2 If Galois field GFn exists what
Group. Field. Galois field GF(2). If Galois field GF(n) exists, what is n. Vector space. (V+,F) What is the vector space Qn What is the vector space R What is the vector space Cn What is the vector space CnDa,bl, infinity What is the vector space Pn l. A subspace of a vector space. 2. The null space of an mxn matrix A.
Solution
Group- is an algebric structure consisting of a set of elements,with a specific operation that combines two elements to form a third element.
Field- a set of elements with a given operation (mostly addition and multiplication)
Vector Space is a space consisting of different vectors which may be added together and multiplied by numbers.
Vector sub space: A common vector space in two different vector spaces is called vector sub space.
Null space is a set of all vectors that are sent to the zero vector.
