Tag Archives: whole vs. parts

Groupings, Shopping Lists, Vectors: part 16

This has become a long series, and we’re not done yet.  Here is where we started, looking for natural models that give power and flavor to the mathematical idea of a vector.  Since then, we’ve looked at vector inner products, … Continue reading

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Groupings, Shopping Lists, Vectors: part 14

In the prior parts of this series, I have look at a number of problem situations from which a certain notion of grouping data and organizing data and operating on data arises straightforwardly, a way of grouping data that is … Continue reading

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Groupings, Shopping Lists, Vectors: part 13

In prior posts in this series we have seen two completely different kinds of applications for the idea of matrix multiplication: in part 11 we looked at pricing out an order, and in part 12 we looked at drawing a … Continue reading

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Groupings, Shopping Lists, Vectors: part 12

After the work we’ve done in prior parts of this series, e.g. part 11, to show vector inner products and matrix multiplication using an example of pricing out an order at a fast food place, I’d like to work through … Continue reading

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Groupings, Shopping Lists, Vectors: part 11

Let’s look some more at matrix multiplication, which we introduced in part 10 of this series.   We showed three rectangular arrangements, and called each a matrix, and called one the product of the other two.  (The accepted plural of matrix … Continue reading

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Groupings, Shopping Lists, Vectors: part 10

I’d like to revisit the price list from part 6 of this series for the fast food place, and revisit how the price list can be combined with an order to arrive at the total cost (ignoring taxes). As you … Continue reading

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Groupings, Shopping Lists, Vectors: part 9

In earlier parts of this series we’ve looked at shopping lists as both an example and a model for something that in math class is called a vector.  We’ve looked at the sum of two vectors by imagining you join … Continue reading

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Groupings, Shopping Lists, Vectors: part 8

In part 7 of this series, one of the examples for the use of inner product of two vectors was that of a final score based on a series of tests with different weights. We have a vector of weights … Continue reading

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Groupings, Shopping Lists, Vectors: part 7

In part 6 of this series, I introduced an operation called inner product between two vectors, as a way to find the total price of an order using a price list.  In this post, I want to give a bunch … Continue reading

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Groupings, Shopping Lists, Vectors: part 6

In this series on vectors we showed vector addition in this post, and then took a small excursion to show a surprising connection between some vector additions and the distributive property. In  this post, I will combine vectors with look-up … Continue reading

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