Non Trivial Solution Linear Algebra Math

Often solutions or examples involving the number zero are considered trivial.

Non trivial solution linear algebra math. Since rank of a and rank of a b are equal it has trivial solution. Sign up to join this community. I know trivial means where the only solution to ax 0 is where x 0 and non trivial exists where ax 0 and x does not 0. It only takes a minute to sign up.

These solutions are called the trivial solutions. A solution or example that is not trivial. Anybody can ask a question anybody can answer the best answers are voted up and rise to the top home. Algebra pre calculus geometry trigonometry calculus advanced algebra discrete math differential geometry differential equations number theory statistics probability business math challenge problems math software.

Start date nov 17 2010. Any solution which has at least one component non zero thereby making it a non obvious solution is termed as a non trivial solution. Does being a n x n homogeneous equation with a. It always includes the solution which is considered obvious and hence is called the trivial solution.

Is important in math and physics as it could be used to describe a particle in a box in quantum mechanics or a standing wave on a string. How is x3 free. Endgroup kaster aug 13 15 at 17 33. Slader i do not understand the answer as to why that is like that.

Mathematics stack exchange is a question and answer site for people studying math at any level and professionals in related fields. Unique trivial non trivial. Rank of a is 3 and rank of a b is 3. Endgroup anurag a aug 13 15 at 17 26 1 begingroup if determinant is zero then apart from trivial solution there will be infinite number of other non trivial solutions.

Linear algebra and its applications 9780321982384 pg. For example the equation x 5 y 0 has the trivial solution 0 0. Homework help and answers. In this video you will learn trivial and non trivial solution theorem examples linear algebra lecture 19 in hindi mathematics foundation vector space.

Mathematics stack exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Determine the values of λ for which the following system of equations x y 3z 0 4x 3y λz 0 2x y 2z 0 has i a unique solution ii a non trivial solution. Sign up to join this community.