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Part 2 §16: Calculus

Limits, derivatives, and integrals

13 entries· Edition 2019FR→ About Part 2

2-16matrix

13

A

(\begin{matrix} a_{11} & \dots & a_{1 n} \ \\ ⋮ & ⋱ & ⋮ \ \\ a_{m 1} & \dots & a_{m n} \ \end{matrix})

matrix of type by

sum of matrices

A + B

sum of matrices and

product of scalar and matrix

x A

product of scalar and matrix

product of matrices

A B

product of matrices and

identity matrix

I

E

identity matrix

inverse of a square matrix

A^{- 1}

inverse of a square matrix

transpose matrix

A^{⊤}

transpose matrix of

complex conjugate matrix

\bar{A}

A *

complex conjugate matrix of

Hermitian conjugate matrix

A^{H}

Hermitian conjugate matrix of

determinant of matrix

det A

\ | [a_{11}, \dots, a_{1 n} \], [⋮, ⋱, ⋮ \], [a_{n 1}, \dots, a_{n n} \] \ |

determinant of a square matrix

rank A

trace of a square matrix

tr A

trace of a square matrix

∥ A ∥

13 of 13 entries