semath info
table of contents
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Linear Algebra
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Vector Analysis
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Calculus
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Statistics
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Engineering
Linear Algebra
Rotation matrix
Rodrigues' rotation formula
Euler angle
Matrix
Inverse matrix
Inverse matrix of a 2x2 matrix
Inverse matrix of a 3x3 matrix
Inverse matrix of a 4x4 matrix
Gauss-Jordan elimination
Transpose
Orthogonal matrix
Identity matrix
Determinant
Definition of Determinant
Properties of Determinant
Determinant 2x2
Determinant 3x3
Determinant 4x4
Determinant 5x5
"a matrix is invertible" $\Longleftrightarrow$ "its determinant is non-zero"
Cofactor
Cofactor expansion
Cofactor matrix
Diagonalization
How to diagonalize a 3x3 matrix
Rank
How to calculate the rank of a matrix
Others
Linear-independence/dependence and examples
Trace
Triangle Inequality
Calculator of system of linear equations
Vector Analysis
Norm of Cross Product = Parallelogram Area
Kronecker's delta
Calculus
Integral
Gaussian integral
Statistics
Geometric Distribution
Variance of the exponetial Distribution
Expectation value of the exponential Distribution
Engineering
Example of Newton's method: Computing the square root of 3
Lagrange interporation