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How to prove $(AB)^T=B^T A^T$ - Mathematics Stack Exchange Given an m × n m × n -matrix A A and an n × p n × p -matrix B B Prove that (AB)T = BTAT (A B) T = B T A T Here is my attempt: Write the matrices A A and B B as A = [aij] A = [a i j] and B = [bij] B = [b i j], meaning that their (i, j) (i, j) -th entries are aij a i j and bij b i j, respectively Let C = AB = [cij] C = A B = [c i j], where cij =∑n k=1aikbkj c i j = ∑ k = 1 n a i k b k
Re: Kirk, Stephen, abt. 1740, - Genealogy. com Ellen Canne Edward Kyrke, b abt 1545, Norton Derby, England Father, Arnold Kyrke Also, There was a Thomas Kirk from Chowan Co , North Carolina, that might fit in with John Kirk of Virginia There is a record of Thomas Kirk landing in Chowan Co , NC in 1693 Thomas and his wife must have returned to England because again in 1694 another
Re: Jackson Sanders-Winston Co - Genealogy. com EZEKIEL4 SANDERS (ANDREW JACKSON3, GEORGE W 2, ISAAC1) was born Abt 1857 in Louisville, Winston County, Mississippi, USA He married LOUISA LUCY M EVANS 26 Dec 1877 in Winston County, Mississippi, USA
Chitty Hughes from SC GA - Genealogy. com 1 Jonathan Hughes b abt 1780m Catherine Unknown 2 Elizabeth Hughesm Christian Rumph 3 David Hughes m Susannah Aberly Unknown and had:Hannah Dianne Hughes and David S Hughes (1780-before 1830) who married Catherine Inabinet and had Joshua David Hughes (b feb 2, 1826)who married Adaline Way 5 Thomas, son of Caleb Hughes above, had
Re: Jesse Ledford b. abt 1796 - Genealogy. com She married William MCCURRY , Sr ABT 1788 in North Carolina He was born BET 1763 - 1765 in Augusta, Virginia or Lincoln or Rutherford Co North Carolina, and died 11 OCT 1828 in Golden Valley, Rutherford Co , N C
How to prove that $(AB)^t = B^tA^t$ - Mathematics Stack Exchange You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later
Re: Noah Richards b. abt. 1847 - Genealogy. com I am a descendant of Thomas Cupples Richards (b 5 12 1774 in NC; d 1 14 1838 in Wewahitchka, Gulf Co , FL) Thomas C Richards' father was George Richards, Sr (b 1727 in VA or NC; d 1818 in NC) George Richards was my ggggggrandfather Thomas C Richards and his family moved into NW FL in the early 1800's, first settling in Ocheessee in Jackson Co on the banks of the Apalachicola River
Re: Cpt. John McBride, b. abt - Genealogy. com Abt 1726 David McBride, medical doctor, married to (1) Margaret Armstrong and (2) Dorcus Cuming Also a daughter circa 1724, Jane McBride that married John Poe
Re: Fairfield County, S C Sta - Genealogy. com John Dunkley Stanton married Elizabeth Owens (1798-1845), the daughter of William Owens (1773-1839) Mary Oxner (d 1842) Supposedly William Owen's parents were Benjamin Owens, Jr (1747-1823) Elizabeth Dunkley (abt 1750-1815) Now Dunkley is a very rare name John Dunkley mentioned above is the only possibility of being her father, yet he is
A confusion in the proof of $(AB)^T = (B^T A^T)$ You seem to know that (i, j) (i, j) -entry of BT B T is bj,i b j, i, that is probably why you are writing BT = (bj,i) B T = (b j, i) The issue is, this notation is confusing as it is not telling you which index denotes the row and which denotes the column I guess this is where you get confused To make things clear, let us use some unconventional notation: A matrix A A whose (i, j) (i, j