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Let T:R^3->R^2 be linear transformation defined by T(x,y,z) = {x+y,x-z} then what is dimension of null space of T ?

By SK Math Expert March 24, 2021Linear Algebranull spaces

Introduction: In this article, we will write and explain the solution of the question Let T:R^3->R^2 be linear transformation defined by T(x,y,z) = {x+y,x-z} then what is dimension of null…

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

By SK Math Expert March 24, 2021Linear Algebralinearly 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…

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?

By SK Math Expert March 23, 2021Linear Algebralinear 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…

What is dimension of a subspace W= {(x,y,z,t):x+z+t=0,y+z+t=0} of R^4 ?

By SK Math Expert March 23, 2021Advanced Math, Linear Algebradimension-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…

show that w=1/2(z+z^-1) maps unit circle to unit circle centered at origin

By SK Math Expert March 20, 2021Advanced Math, Complex AnalysisMobius transformation

Introduction: In this we will present step by step procedure to show that w=1/2(z+z^-1) maps unit circle to unit circle centered at origin . This is a bi linear transformation…

Orthogonal and Orthonormal functions Example 1

By SK Math Expert March 15, 2021Real AnalysisOrthogonal and Orthonormal functions

Introduction: In this example , we will prove that a set of functions is an Orthogonal and Orthonormal functions. Question: Prove that following functions \[f_n (x) = \sqrt {\frac{2}{l}} \sin…

how to find row reduce Echelon form of a matrix example 1

By SK Math Expert March 2, 2021Advanced Math, Linear Algebrarow 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…

how to solve ode by finding Integrating factor example 1

By SK Math Expert March 2, 2021Advanced Math, ODEsIntegrating factor method

Introduction : In this we write the step by step procedure to solve ode by finding Integrating factor example 1. Question : Solve ode \[\cos \left( x \right){u^\prime } +…

How to solve system of linear equations in matlab example 1

By SK Math Expert March 1, 2021Advanced Math, MATLABsolve system of linear equations in matlab

Introduction: In this solution we explain the question How to solve system of linear equations in matlab example 1 as follows Question: solve system of linear equations \[5*x_1-20*x_2+10*x_3+x_4 = 10\]…

How to solve x^2-3=0 by secant method MATLAB

By SK Math Expert March 1, 2021MATLAB, Numerical AnalysisSecant Method examples

Introduction: In this solution we will solve x^2-3=0 by secant method MATLAB program We will also determine the error at each iteration and estimate the root of the equation. Question:…