Category Archives: Self Education

Teen Pays for College Tuition with a Jewelry Business

According to Chanel Parks of the Huffington Post, LeiLei Secor started an online jewelry shop in 2012.  She began it while she was still in high school instead of looking for a summer job.  She makes and sells her own … Continue reading

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Determinants – How to Calculate the Determinants for a 2×2 Matrix

In order to calculate the determinant for a matrix, it must be a square matrix, with equal rows and columns.  The easiest square matrix to find the determinant is one that is 2×2.   See Kelley’s Algebra pg. 121-122.  Below, … Continue reading

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Determinants in Matrix Algebra: Why are they important?

I had a difficult time making sense of this topic.  Good mathematicians frequently have trouble teaching math—I’m guessing—because they have mastered the art of thinking in numbers but are unable to translate that into English.  Or perhaps—I’m also guessing—a subject … Continue reading

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Matrix Multiplication Algebra

I wouldn’t wish pencil and paper matrix multiplication algebra on my worst enemy.  Well, on second thought……  Anyway, Michael Kelley describes it as, “The trickiest thing you’ll need to do with matrices.”  In Kelley’s Algebra, Chapter 9, pg 118-120, he … Continue reading

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Skip Cramer’s Rule and just do Helzer’s Matrix Divide in J

In the last post,  we demonstrated the use of Cramer’s Rule as explained by Michael Kelley in Algebra Chapter 9.  We saw that Cramer’s Rule works in J, but in this post and in a previous post using  Matrix Divide … Continue reading

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Back to Benny Lewis the Irish Polyglot

After getting that business off my chest about  the prison POW, gulag, or concentration camp style public school lunches (opps, I’ve violated Godwin’s law), I wanted to get back to Benny Lewis, the Irish Polyglot.  I had a few more … Continue reading

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Benny Lewis – The Irish Polyglot – Part 3: What is the Irish Language?

You say, “I thought the Irish spoke English?”  They do. But it is not the original language of the Celtic peoples of the British Isles as depicted on the map:   Irish (Green), Scots(Blue), Manx (the tiny dot of Orange … Continue reading

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Benny Lewis: The Irish Polyglot updated part 1

Benny Lewis calls himself as the Irish Polyglot.  He, like Kato Lomb, got nothing out of conventional language learning classes, but beginning with Spanish, he became self taught in a number of languages.  His website is here. I first came … Continue reading

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Do-it-Yourself Learning: Creating a times table in J, Part 2

J can solve any arithmetic problem that a pocket calculator or calculator app can solve, only you enter the numbers as an interpreter line command. Suppose you wanted to find out how many seconds there are in a day. The … Continue reading

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Do-It-Yourself Learning: APL and J: Secret treasures of Math, part 1.

Many of you now probably use the pocket calculator type apps available for “smart” phones, as we once used a pocket calculator.   At the time, the pocket calculator was a Godsend for the math impaired. Those who were not confident of … Continue reading

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