Linear Algebra Kenneth Hoffman Solutions PDF Form
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People also ask solutions of linear algebra by kenneth hoffman
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How many solutions are there in linear equations?
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
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What is the difference between trivial and unique solution?
Unique solution- has an exact solution (such as a POI of 2 intersecting lines) Trivial solution- when 0 needs to equal the zero vector in Ax=0vector.
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What is trivial and nontrivial solutions linear algebra?
In linear algebra, let X be the unknown vector and A is the matrix and O is zero vector. One simple solution of matrix equation AX = O is X = 0 which is known as “trivial solution”. Any other non-zero solution is termed as a “non-trivial” solution.
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Who discovered linear algebra?
German mathematician Gottfried Leibniz established the use of determinants to solve linear systems in 1693. In 1750, Swiss mathematician Gabriel Cramer used this concept to solve linear systems and develop what is now known as Cramer's rule.
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