Identity and Eye Matrices

Problem Statement

Create identity matrices using NumPy.

Background

• np.eye(n): Creates n×n identity matrix (1s on diagonal, 0s elsewhere)
• np.identity(n): Same as eye, but only square matrices
• Identity matrix: I × A = A (identity element for matrix multiplication)

Your Task

Write a function create_identity(n) that returns a dictionary with:

• "identity": n×n identity matrix as nested list
• "trace": Sum of diagonal elements (should equal n)
• "shape": Shape as list [n, n]

Output Format

Return a dictionary with exactly these three keys.