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Equations Library

Electronics related equations and more.

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Linear Algebra

Decomposition

LU

is a lower triangular matrix

is an upper triangular matrix

No Equation

QR

is an orthgonal matrix of size

is an upper triangular matrix of size

No Equation

Rank

is an

matrix

is an

matrix

is the rank of

No Equation

Singular Value

latex!encoded:base64,QT1VRFZee0h9
latex!encoded:base64,RA==

is a nonnegative diagonal matrix

latex!encoded:base64,VQ==

and

latex!encoded:base64,Vg==

are unitary matrices

latex!encoded:base64,Vl57SH0=

is the conjugate transpose of

(transpose if

contains reals only)

No Equation

Eigendecomposition

is a diagonal matrix formed from the eigenvalues of

The columns of

are the eigenvectors of

No Equation
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