Question

Construct a matrix A = [a_ij ]_{3 x 2} whose elements ay are given by

a_ij = i - 3j

Answer 1

∴ a₁₁ = 1 – 3(1) = 1 – 3 = -2, 

a₁₂ = 1 – 3(2) = 1 – 6 = -5, 

a₂₁ = 2 – 3(1) = 2 – 3 =-1, 

a₂₂ = 2 – 3(2) = 2 – 6 = – 4 

a₃₁ = 3 – 3(1) = 3-3 = 0, 

a₃₂ = 3 – 3(2) = 3 – 6 = -3

∴ A= \(\begin{vmatrix}-2&5\\-1&-4\\0&-3\end{vmatrix}\)