Hello Can someone explain this statement please- --A square matrix A i.docx

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Hello Can someone explain this statement please? \"A square matrix A is row equivalent to the identity matrix if and only if the columns of A^T (transpose of A) are linearly independent\" I know the answer is true but I need some explanation.. Thank you :) Solution Columns of A^T are same as the rows of A.;;;;;;;; So, the statement reduces to \"A square matrix A is row equivalent to the identity matrix if and only if the rows of A are linearly independent\" .Let us prove this;;;;;;;;;;; Consider A to be a set of 3 linear equations, with variables x,y,z. If it has a unique solution, then the set of 3 linear equations obtained from identity matrix also have a unique solution. [By linear row transformations.] So,A is row equivalent to the identity matrix.But if they are not linearly independant, they cant have a unique solution but the identity matrix has a unique solution.So, they cant be row equivalent in this case. So, the \'if and only if\" statement is justified .

Hello Can someone explain this statement please?
"A square matrix A is row equivalent to the identity matrix if and only if the columns of A^T
(transpose of A) are linearly independent"
I know the answer is true but I need some explanation..
Thank you :)
Solution
Columns of A^T are same as the rows of A.;;;;;;;; So, the statement reduces to "A square matrix
A is row equivalent to the identity matrix if and only if the rows of A are linearly independent"
.Let us prove this;;;;;;;;;;; Consider A to be a set of 3 linear equations, with variables x,y,z. If it
has a unique solution, then the set of 3 linear equations obtained from identity matrix also have a
unique solution. [By linear row transformations.] So,A is row equivalent to the identity
matrix.But if they are not linearly independant, they cant have a unique solution but the identity
matrix has a unique solution.So, they cant be row equivalent in this case. So, the 'if and only if"
statement is justified

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he above pictures best represents a solid lonic A) picture (a) B) picture (b) C)picture Ic l picture (d) 3) Which contains both covalent bonds and lonic bonds? A) HBr B) Li 4) A reactive element with a relatively high electronegativfty would be expected to have a reletively A) small negative electron affinity and a relatiwely low ionization energy- B) small negative electron affinity and a reletively righ lonitation energy. C) large negative electron affinity and a relatively low lonization energy. D) large negative electron affinity and a relatively high ionization energy Est IGF ONLY Solution Solved the first problem as per Chegg guidelines, post multiple question to get the remaining answers Q2) Correct answer is Option C (picture (c)) Reason: The ionic bond is formed when two elements with high electronegativity difference form a bond which result in the formation of + charge on cation and - charge on anion Picture A and B contains only one type of atoms/element, hence it cannot form ionic bond with itself Picture D has two types of atom/element, but far spread like gases, generally ionic compounds are solid in nature .

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Heidi Design acquired 20% of the outstanding common stock of Quigly Company on January 1, 2014, by paying $800,000 for the 30,000 shares. Quigly declared and paid $0.30 per share cash dividends on March 15, June 15, September 15, and December 15, 2014. Quigly reported net income of $320,000 for the year. At December 31, 2014, the market price of Quigly common stock was $34 per share. Instructions (b) Prepare the journal entries for Heidi Design for 2014, assuming Heidi Design can exercise significant influence over Quigly. Use equity method. HINT: Revenue from stock investments $64,000. Solution the revenue from dividend is =30,000X0.3= $9000 and 4 times paid, so total dividend= 9000*4= $36,000 and the net income at the date 31,Dec 2014 is $320,000. if you divide it per share, it will be: total shares are= 150,000 (i.e. when 20% shares are 30,000 in number, total shares are 150,000) 320,000/150,000= $2.133 and total apreciation can be $64,000 (2.133*30,000) .

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Harris Fell, CPA and member of the AICPA, was engaged to audit the financial statements of Wilson Corporation. Fell had half-completed the audit when he had a dispute with the management of Wilson Corporation and was discharged. Hal Compton, CPA, was promptly engaged to replace Fell. Wilson Corporation did not compensate Fell for his work to date; therefore, Fell refused to allow Wilson Corporationâ€™s management to examine his working papers. Some of the working papers consisted of adjusting journal entries and supporting analysis. Wilson Corporationâ€™s management had no other source for this information. Did Fell violate the AICPA Code of Professional Conduct ? Explain fully. Remember to complete all parts of the problems. Do not forget to show the necessary steps and explain how you attained that outcome Solution It is apparent from the cae that Fell was dismissed and replaced rather quickly due to disagreement with managemnt .Wilson co. replaced him with Hal Compton, but Fell had not been paid for the work he had performed on the audit to date.Due to Fell\'s dismissal and Wilson co\'s did not compensate ,they were not given access to Fell\'s paperwok. I believe that Fell is not conforming to the AICPA\'s code of professional conduct.If Wilson Co. had still not paid Fell after a certain amount of time then he could have taken the appropirate actions to be paid for services rendered. Most companies do not pay for services as soon as task is completed . A company has a certain amount of time to pay thier bill before it goes int default .Fell shpuld have made his findings avialable to his repalacement and the Wilson Co. immediately as a show of professional and ethical courtsey .

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1. Hello Can someone explain this statement please? "A square matrix A is row equivalent to the identity matrix if and only if the columns of A^T (transpose of A) are linearly independent" I know the answer is true but I need some explanation.. Thank you :) Solution Columns of A^T are same as the rows of A.;;;;;;;; So, the statement reduces to "A square matrix A is row equivalent to the identity matrix if and only if the rows of A are linearly independent" .Let us prove this;;;;;;;;;;; Consider A to be a set of 3 linear equations, with variables x,y,z. If it has a unique solution, then the set of 3 linear equations obtained from identity matrix also have a unique solution. [By linear row transformations.] So,A is row equivalent to the identity matrix.But if they are not linearly independant, they cant have a unique solution but the identity matrix has a unique solution.So, they cant be row equivalent in this case. So, the 'if and only if" statement is justified