Determine the matrix of the given transformation Tx1 x2 3x1

Determine the matrix of the given transformation

T(x₁, x₂) = (3x₁ 5x₂, x₁ + 6x₂)

Solution

T(x1,x2) = (3x1 5x2, x1 + 6x2) = A(x1,x2)

where A is tranformation or transition matrix

A =[a1,a2]

where a1 ={3,-5)

a2 =(1,6)