Equation of The Day

Day 89: Change of basis

$$\mathbf M'=\mathbf Q^{-1}\mathbf M\mathbf P$$

#88 $\qquad\leftarrow\qquad$ #89 (February 26, 2025)

About

This is the website for the EoTD (Equation of The Day), by Zongshu Wu. Every day, I post a mathematical expression (usually an equation), and then give a brief explanation. Together, all of the EoTDs form a coherent whole, a guide to advanced mathematics.

The length of this series may seem to clash with the subtitle of "A brief guide to higher math" -- but this is only because there is an immense amount of math out there! Relative to other sources, this series is meant to be short, yet still provide key mathematical intuitions.

Let $0\in\mathbb N$.

Sector 1: Days 1 - 63

     1   2   3   4   5   6   7
 8   9  10  11  12  13  14  15
16  17  18  19  20  21  22  23
24  25  26  27  28  29  30  31
32  33  34  35  36  37  38  39
40  41  42  43  44  45  46  47
48  49  50  51  52  53  54  55
56  57  58  59  60  61  62  63

1 - 15: Ring Theory

16 - 23: Real Analysis

24 - 31: Rings and Groups

32 - 39: Real Analysis

40 - 47: Linear Algebra

48 - 63: Various Topics in Analysis

Sector 2: Days 64 - 127

In progress!

64  65  66  67  68  69  70  71
72  73  74  75  76  77  78  79
80  81  82  83  84  85  86  87
88  89                        

64 - 71: Set Theory

72 - 79: Galois Theory

80 - 87: General Topology

88 - 95: Linear Algebra

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