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Transpose of the matrix

I was thinking that for each element of matrix in position i, j will be assigning the value to the new matrix on j, i.

So it would be something like this

__global__ void transpose(matrix* A, matrix* Return) {
  int y = blockIdx.y * blockDim.y + threadIdx.y;
  int x = blockIdx.x * blockDim.x + threadIdx.x;

  Return[y][x] = A[x][y];
}

Dot product

Simply for each row of A matrix calculate value with cols from B matrix.

Blocks: number of rows in A
Threads: number of cols in B

__global__ void dot(matrix* A, matrix* B, matrix* Return) {
  int row = blockIdx;
  int col = threadIdx.x;

  for i in range(A.x.length())
    sum += A[row][i] * B[i][col];

  Return[row][col] = sum;
}

Determinant

  1. Recurrency

For matrix A 2x2

[[a, b],
 [c, d]]

The determinant will be |A| = a*d - b*c

For matrix with n > 2

[[a, b, c],
 [d, e, f],
 [g, h, i]]

|A| = a * |[[e, f], [h, i]]| + b * |[[d, g], [g, i]]| + c * |[[d, e], [g, h]]|

So it will be something like this

float determinant(matrix* A) {
  if matrix.dim = 2 {
    return A[0][0] * A[1][1] - A[1][0] * A[0][1];
  } else {
    // split???
}

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