Final answer:
To find the matrix of the orthogonal projection onto L, project the standard basis vectors onto the subspace L and organize the results as columns of a matrix.
Step-by-step explanation:
The student is asking to find the matrix of the orthogonal projection onto L. In linear algebra, the matrix of an orthogonal projection onto a subspace can be found by projecting the standard basis vectors onto that subspace and organizing the results as columns of a matrix. Let's say L is a subspace with basis vectors given by v1, v2, ..., vn. The matrix of the orthogonal projection onto L would then be the matrix formed by arranging the projections of the standard basis vectors onto L as columns: P = [proj(v1), proj(v2), ..., proj(vn)]