Question

Let Aₙ be the n × n matrix with entries given by: a_i, i=x(i=1, …, n), a_i, n+1-i=y(i=1, …, n) and all other entries 0 .

Nrite down A₄.

Answer 1

The matrix A₄ is a 4x4 matrix with entries given by x and y in specific positions.

Step-by-step explanation:

The matrix A₄ is a 4x4 matrix with entries given by:

A₁₁ = x, A₁₂ = 0, A₁₃ = 0, A₁₄ = y

A₂₁ = 0, A₂₂ = x, A₂₃ = y, A₂₄ = 0

A₃₁ = 0, A₃₂ = y, A₃₃ = x, A₃₄ = 0

A₄₁ = y, A₄₂ = 0, A₄₃ = 0, A₄₄ = x