[1 Let matric A be a square hermitian matrix= |2 4 5 5 1. L3 Use Gram-Schmidt process to find the orthogonal bases for each of the four fundamental. Subspaces.

Let x = Answer: -3] N and y= -3 Use the Gram-Schmidt process to find an orthonormal basis for the subspace of R³ spanned by * and y. -5 8 Hint: Find an orthogonal basis first, then normalize the vectors.

Suppose a subspace is spanned by the set S of vectors shown. Find a subset of S that forms a basis for the subspace, using the method of transforming a matrix to echelon form, where the columns of the matrix represent vectors spanning the subspace. GOL S= A basis is -3 16 20 What is the dimension of the subspace?

a = -4 -3 -1 0 and b || -7 -3 11 -12 Use the Gram-Schmidt procedure to determine an orthonormal basis {₁, ₂} for the subspace of Rª spanned by the vectors a and b.