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Figure 4.1.4
THEOREM 4.1.7
Pythagorean Theorem in with the Euclidean inner product, then
If u and v are orthogonal vectors in
Proof
Alternative Notations for Vectors in in in matrix notation as a row matrix or a column matrix:
It is often useful to write a vector
This is justified because the matrix operations
or
produce the same results as the vector operations
The only difference is the form in which the vectors are written.
A Matrix Formula for the Dot Product
