PCA Projection

Project centred row data X onto the first k principal components. components is a matrix whose columns are the component directions, so the retained coordinates are $Z=XV[:,:k]Z=X\backslash ,V[:,\; :k]$.

Implement solve(X, components, k).

Returns. Return an $n\times kn\backslash times\; k$ NumPy array.

Examples

Example 1

Input:

solve([[1, 2], [3, 4]], [[1, 0], [0, 1]], 1)

Output:

[[1], [3]]

Example 2

Input:

solve([[-1, 2]], [[0, 1], [1, 0]], 2)

Output:

[[2, -1]]