Bissoy.com
Doctors Medicines MCQs Q&A

The elements of a vector space form a/an ____________ under vector addition.

The elements of a vector space form a/an ____________ under vector addition. Correct Answer abelian group

An example of a coset is associated with the theory of vector spaces. The elements (vectors) form an abelian group under the vector addition in a vector space. Subspaces of a vector space are subgroups of this group.

Related Questions

Mr.Rohan while helping the students of Class IV in adding and subtracting fractions observed that several students are not able to complete the addition of two improper fractions. He gave a small test with questions from the addition of proper fractions (one item of addition of two similar fractions, three items from the addition of proper and improper fractions, and four items from the addition of improper fractions). He analyzed the responses of each student and found that nearly 45% of students were not clear in adding proper with improper fractions which were affecting their performance in adding two improper fractions. He, therefore, focused on developing the understanding of improper fractions and their addition with proper fractions after which he proceeded to teach the addition of two improper fractions. Which kind of assessment is depicted by this situation?
Consider the following two C code segment. Y and X are one- and two-dimensional arrays of size n and n × n respectively, where 2 ≤ n ≤ 10. Assume that in both code segments, elements of y are initialized to 0 and each element X[i] [j] of array X is initialized to i + j. Further assume that when stored in main memory all elements of x are in same main memory page frame. Code segment 1:                 //initialize elements of y to 0                 //initialize elements X[i] [j] of X to i+j                       for (i = 0; i < n; i++)                                 Y[i] += X[0] [i]; Code Segment 2:                 //initialize elements of Y to 0                 //initialize elements X[i] [j] of X to i+j                        for (i = 0; i < n; i++)                                 Y[i] += X[i] [0]; Which of the following statements is/are correct? S1: Final contents of array Y will be same in both code segments S2: Elements of array X accessed inside the for loop shown in code segment 1 are contiguous in main memory S3: Elements of array X accessed inside the for loop shown in code segment 2 are contiguous in main memory
Which of the following option is correct about oxidation and reduction? The addition of a non-metallic elements (removal of metallic elements) is called oxidation. The addition of metallic elements (removal of non-metallic elements) is called reduction.
Consider a system described by ẋ = Ax + Bu y = Cx + Du The system is completely output controllable if and only if Where: x = State vector (n-vector) u = Control vector (r-vector) y = Output vector (m-vector) A = n × n matrix B = n × r matrix C = m × n matrix D = m × r matrix
Read the following passage carefully and then choose the right word to complete the sentence that follows. Rockets are very expensive as it can be used only once. Appled scientists have therefore develped a reusable space craft called a space shuttle which takes off like a rocket; however, does no get destroyed as it returns to earth. It can also be used to lunch satellired into space, retrieve them from space if any repairing os required and allow around 8 scientists to crryout experiments in space. The space shuttle does not get.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All Matter is Space. Some Mass is Matter. Conclusions: A. All Mass is Space. B. Some Mass is Space. C. Some Space is Mass. D. All Space is Mass. E. All Matter is Mass.
Mobile genetic elements present in human genome are
P. Long interspersed elements (LINEs)
Q. Short interspersed elements (SINEs)
R. P elements
S. IS elements
Assertion 'a': During casting of aluminium, grain refinement can be achieved by addition of certain alloying elements.
Reason 'r': The addition of the alloying elements may result in the formation of deoxidation products or intermetallic compounds which may act as nucleation sites for grain refinement.
The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. A. It also describes how the elements and principles of art work together in an artform. B. Form is one of the seven elements of art. C. It connotes a three-dimensional object in space. D. Form is also used to describe the physical nature of the artwork.
What are the special features of the following group of elements? 1. All these elements are metals 2. All these elements react with water to form hydrogen gas 3. All these elements have a valency 1