---

excalidraw-plugin: parsed
tags: [excalidraw]

---
==⚠  Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==


# Text Elements
scalaire ^g4Cw1JKA

scalaire ^sc6Kn9PQ

égaux ^WgFJxU3h


# Embedded files
0bf7bc5b7406e884576eaeddb86aa48d830fd549: $$\mathcal{C}$$
44c443a4bf16017a4c5a7a03a84af974552a2365: $$\mathcal{B}$$
52cf931ed67affd878c1e01146d3933c6edfc29c: $$[\mathcal{B}]_{\cal C} = [\mathcal{C}]_{\cal B}^{-1} $$
4396476fc7320b7012d3ed0840329dffed9eafd4: $$[\mathcal{C}]_{\cal B}$$
d3b7103ef7dedd212b194238386ea1be184778cd: $$X' $$
c8e814e69114e922314195ad99f451a4424759b7: $$Y'$$
3a64cf0f224ee18abd92d01d637aec2877a88b90: $$b$$
42a958bfac14ee28a6a81d27d5fe374e60a5673f: $$X$$
f09f667375ca92aaad7a188a8aa2c7f463f55dfc: $$Y$$
ecde70467bbf4a2dc9a729cf10f6cde1050a2127: $$b(X', Y') = \,^TX \times \,^T[\mathcal{C}]_{\cal B}^{-1}\times [b]_{\cal B}\times [\mathcal{C}]_{\cal B}^{-1} \times Y$$
1fb4dcf6fc439f11fd9947b37b4f2452c3d92820: $$\text{dans la base }\cal C$$
a9d6f9d1a0d4e678b37fd092ccc9c9de5eb00180: $$[\mathcal{C}]_{\cal B}^{-1}$$
8ee3678a5cfb7e75e3d98e1170a72e0882f9cd75: $$\,^TX' = \,^T([\mathcal{C}]_{\cal B}^{-1}X) = \,^TX \times \,^T[\mathcal{C}]_{\cal B}^{-1}$$
9762fb3f3a9cd8d4cb3debf828ac7fba1543c208: $$b(X, Y) = \,^TX\times [b]_{\cal B}\times Y$$
2fd800b448ea1bf7806055081cebe4147cd7f724: $$\text{dans la base }\cal B$$
8ece31f4413989c03f8059e4132f97102581962d: $$[b]_{\cal B}$$
0076212ffc94f0597ca49db47424a3a1bacf51a7: $$\,^T[\mathcal{C}]_{\cal B}\times [b]_{\cal B}\times [\mathcal{C}]_{\cal B}$$
5b45bc6c2159802f60762fc2dc22f175f34e311e: $$b$$
9a48e952862a15b485ed40024575374f1ef8fef2: $$=$$
d0c064fb357c5ea6130ea0bd5980bf5687edc2e0: $$=$$

%%
# Drawing
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