There are 10 problems must be solved with details (step by step) , No copying from the internet...

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There are 10 problems must be solved with details (step by step) , No copying from the internet neither Plagiarism.The BOOk name is ( Methods of Applied Mathematics for Engineers and ScientistsBy Tomas B. Cois) found in the Link bellow:https://books.google.com/books?id=WIRcB6VJ0mYC&printsec=frontcover&dq=Methods+of+Applied+Mathematics+for+Engineers+and+Scientists&hl=en&sa=X&ved=0ahUKEwj0rZCs-_HRAhXLs1QKHXU4DtQQ6AEIGjAA#v=onepage&q=Methods%20of%20Applied%20Mathematics%20for%20Engineers%20and%20Scientists&f=false
	
Document Preview: Math%5545%–%HW:"Please"write"down"your"name"and"title"“Math"5545"HW#"”"
on"your"solution"paper"for"each"homework."Show"key"steps."
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HW#1"(10"problems,"each"worth"2"points):"Problems"in"the"book."
" Section"1.7:"1.6,"1.9,"1.10,"1.14,"1.19,"1.20,"1.23,"1.26,"1.29,"1.30."
The"problems"are"posted"below"for"your"convenience."
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David · Accepted Answer

Solution- E1.6: 
As we know that, if matric A is idempotent then,
(1). 
 To show (I-A) is also idempotent, we need to prove that; 
(   )  (   ) 
(   )  (   )(   )              
But we know that identity times anything is itself, so                And
But given that;
So,                                                                                          
Therefore (I-A) is idempotent matric. 
Similarly if A is idempotent then
If k is even then it can be divided into terms of A2 and final result will be same. 
If k is odd then k-1 will be even number and the combination will give same result. 
So
(2). 
If A is idempotent, then,
 Taking the determinant of both sides of this equation, we find:  
(1)                                                                             (  )     ( ) 
Determinant of two matrices equals the product of the two determinants. Then,

There are 10 problems must be solved with details (step by step) , No copying from the internet neither Plagiarism.The BOOk name is ( Methods of Applied Mathematics for Engineers and ScientistsBy...

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