Calculates the absolute value of each and every element of a 2-D matrix

Adusts the indices of the RREF of a matrix by looking at the first <x> zeros of the rows

Finds the positive or the negative parts of the characteristic equation
Both the positive and negative parts will be added to form the final eqution

Concatenates identity matrix of same size to the original matrix to generate [A|I]

Concatenates matrix rows with the first `(num-cols - 1)` values of the same row
This helps in finding the characteristic equation of the matrix

Calculates the covariance matrix of a 2-D matrix

Same as `org.clojars.punit-naik.clj-ml.utils.matrix/create-matrix`
But this one creates a 2-D identity matrix

Creates an N-D matrix of `dimenstions` specified in order with random float values in it.
Optional seed (Integer Value) for the random matrix generator can be specified as well.

Finds the cross product of two (indexed) rows of a matrix

Caluclates the determinant of a square matrix by first calculating it's uper triangular matrix
and then multiplying it's diagonal elements together while taking into account the number of row swaps made in the process

Returns the dimenston of a 2-D matrix in a vector two elements

Gets the eigen values of a matrix from it's characteristic equation

Finds the eigenvector for a matrix with a particular eigenvalue

Finds the Eigenvectors of a matrix by using it's Eigenvalues

Checks if the nested matrices of a matrix have euqal dimensions or not

Calculates the exponential of each and every element of a 2-D matrix

Get's a specific value from the martix `m` based on the path provided in `index-path`

Checks if the matrix `m` is a 2-D identity matrix or not

This function indexes `matrix`'s rows and returns a map where key is the row number and value is the row itself

Checks if a matrix is invertible or not

Does A-λI when λ is known as well as unkonwn

Multiplies two matrices of MxN and NxP dimensions
Calculates the dot product

Returns true if a data structure is a valid N-D matrix, else false

Calculates the mean of a 2-D matrix

Performs arithmetic operation on a matrix with a scalar or another matrix

Executes the function `f` repeatedly `n` times

Finds the rank of a mtrix by counting the number of non zero rows

Calculates the reciprocal of each and every element of a 2-D matrix

using `row-1` to adjust row elements of `row-2` so that their first `n` values are equal to zeros

Adjusts the element of `row-1` at index `i` and makes it zero using the elements of `row-2`

Returns the sigmoid/logistic values of a 2-D matrix

Given a set of linear equations where each equation is represented as:
ax + by + cz + ... = d
In a matrix for like:
[[a1 b1 c1 d1]
 [a2 b2 c2 d2]
 .
 .
 [an bn cn dn]]
Tries to find the solution for every unknown, x, y, z in this case

Checks if a matrix is quare or not

Swaps the rows at the `i`th and `j`th indexes

Returns the transpose of a 2-D matrix

Converts any square matrix into an upper-triangular matrix
where all the matrix elements below the diagonal elements are zero

Makes all the elements above and below `matrix[i, j]` zero using row transformations