Construct a 2 × 2 matrix A = [a(i,j)] whose elements are given by a(i,j) = (i + j)² / 2.

Construct a 2 × 2 matrix A = [a(i,j)] whose elements are given by a(i,j) = (i + j)² / 2.

• A. [[2, 9/2], [9/2, 8]]
• B. [[2, 9/2], [9/2, 4]]
• C. [[1, 9/2], [9/2, 8]]
• D. [[2, 5/2], [5/2, 8]]

Answer: A) [[2, 9/2], [9/2, 8]]

Explanation: a(1,1) = (1+1)²/2 = 2. a(1,2) = (1+2)²/2 = 9/2. a(2,1) = (2+1)²/2 = 9/2. a(2,2) = (2+2)²/2 = 16/2 = 8. Thus, A = [[2, 9/2], [9/2, 8]].