The following code is to illustrate the matrix multiplication method mentioned previously. For simplicity sake, I’m limiting the size of the matrices to 3.
const int cnSize = 3;
int[,] A = new int[cnSize, cnSize];
int[,] B = new int[cnSize, cnSize];
int[,] C = new int[cnSize, cnSize];
int[] x = new int[cnSize];
int[] y = new int[cnSize];
Random rand = new Random();
int i, j, k;
// fill matrix and vector with random values
for (i = 0; i < cnSize; ++i)
{
for (j = 0; j < cnSize; ++j)
{
A[i, j] = rand.Next(1, 10);
B[i, j] = rand.Next(1, 10);
}
x[i] = rand.Next(1, 10);
}
// matrix-vector multiplication
for (i = 0; i < cnSize; ++i)
{
y[i] = 0;
for (k = 0; k < cnSize; ++k)
{
y[i] += A[i, k] * x[k];
}
}
// matrix-matrix multiplication
for (i = 0; i < cnSize; ++i)
{
for (j = 0; j < cnSize; ++j)
{
C[i, j] = 0;
for (k =...
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