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Linear Algebra

Whether the set {exp(2x),exp(3x)} for x in R is a linearly dependent or independent over R?

Posted by By SK Math Expert March 24, 2021Posted inLinear AlgebraTags: linearly dependent or independent set
Introduction:In this post, we will explain the answer of the question Whether the set {exp(2x),exp(3x)} for x in R is a linearly dependent or independent over R? Question: Whether the…
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If S ={(1,1,0),(2,1,3)} is a subset of R^3 then which of the following vector of R^3 is not in linear span of S?

Posted by By SK Math Expert March 23, 2021Posted inLinear AlgebraTags: linear span of a set examples
Introduction: In this article, we will present step by step solution to the question If S ={(1,1,0),(2,1,3)} is a subset of R^3 then which of the following vector of R^3…
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What is dimension of a subspace W= {(x,y,z,t):x+z+t=0,y+z+t=0} of R^4 ?

Posted by By SK Math Expert March 23, 2021Posted inAdvanced Math, Linear AlgebraTags: dimension-of-a-subspace
Introduction: In this post , we write step by step procedure to answer the question What is dimension of a subspace W= {(x,y,z,t):x+z+t=0,y+z+t=0} of R^4 ? Question: What is dimension…
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how to find row reduce Echelon form of a matrix example 1

Posted by By SK Math Expert March 2, 2021Posted inAdvanced Math, Linear AlgebraTags: row reduce and Echelon form
Introduction : In this solution we will explain how to find row reduce Echelon form of a matrix example 1. Question : Find row reduce Echelon form of the following…
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how to Prove that transpose operator from the vector space of all square matrices to real numbers is linear

Posted by By SK Math Expert February 28, 2021Posted inLinear AlgebraTags: linear transformation examples
Introduction: This is the step by step solution of the question how to Prove that transpose operator from the vector space of all square matrices to real numbers is linear…
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Linear System with infinitely many solutions

Posted by By SK Math Expert July 28, 2020Posted inLinear AlgebraTags: system with Unique solution or infinitely many solutions or no solutions
Introduction : When an unknown variable solution depends on another unknown then the system is called linear system with infinitely many solutions. In this article, we will see this by…
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