This is a series on vector algebra, but it hasn’t wrapped up yet.  Here are the installments as of now:

Quantity – Different Kinds of Numbers: Vectors – it really all started with this post.  But I didn’t know it yet at the time…

Groupings, Shopping Lists, and Vectors – part 1 – where we take off on a journey: why vector algebra might be important, and how come the traditional textbook approach sucks most of the juice out of it.

Groupings, Shopping Lists, and Vectors – part 2 – a shopping scenario as a starting point for what is essential about vectors: that you know which stuff and how much of each.

Groupings, Shopping Lists, and Vectors – part 3 – a natural notation for vectors different from that in textbooks, which we might call annotated vectors

Groupings, Shopping Lists, and Vectors – part 4 – vector addition seen as combining shopping lists or cash register receipts

Groupings, Shopping Lists, and Vectors – part 5 – vector addition as an entry point into the distributive property

Groupings, Shopping Lists, and Vectors – part 6 – extended prices: introducing inner products

Groupings, Shopping Lists, and Vectors – part 7 – various situations where inner products show up

Groupings, Shopping Lists, and Vectors – part 8 – weighted averages of test scores: matrix times a vector

Groupings, Shopping Lists, and Vectors – part 9 – matrix times a vector, shown in 3D!

Groupings, Shopping Lists, and Vectors – part 10 – matrix multiplication, starting from a shopping list

Groupings, Shopping Lists, and Vectors – part 11 – a further look at matrix multiplication

Groupings, Shopping Lists, and Vectors – part 12 – projective drawings described in terms of matrix multiplication

Groupings, Shopping Lists, and Vectors – part 13 – revisiting vectors and matrices: how do they relate?

Groupings, Shopping Lists, and Vectors – part 14 – how does this treatment compare with textbook treatments?

Groupings, Shopping Lists, and Vectors – part 15 – a look at Excel, showing extended price calculations

Groupings, Shopping Lists, and Vectors – part 16 – vector inner products, shown in Excel

Groupings, Shopping Lists, and Vectors – part 17 – showing matrix multiplication in a regular pattern using Excel

Groupings, Shopping Lists, and Vectors – part 18 – why matrices in textbooks are square.  first look at solving equations

Groupings, Shopping Lists, and Vectors – part 19 – more on solving equations and square matrices

Groupings, Shopping Lists, and Vectors – part 20 – introduction to transformations, using pounds/shillings/guineas

Groupings, Shopping Lists, and Vectors – part 21 – graphing of pound/shilling/guinea situations – showing coordinate axes that are not at right angles

Groupings, Shopping Lists, and Vectors – part 22 – more graphing of pound/shilling/guinea situations

Groupings, Shopping Lists, and Vectors – part 23 – looks at linear combinations, and a geometric model for vector addition

Groupings, Shopping Lists, and Vectors – part 24 – looks at money exchange as a vector addition