Mathematics I - Old Questions

Question Answer Details

b) If T(x₁, x₂) = (x₁ + x₂, x₂, x₁)defined by be the linear transformation, then find matrix associated with linear map T. (4)

4 marks

Asked in 2019

Answer

AI Generated Answer

Official Answer

Given,

T(x₁, x₂) = (x₁ + x₂, x₂, x₁)

We have,

T(e₁) = T(1, 0) = (1+0, 0, 1) = (1, 0, 1)

T(e₂) = T(0, 1) = (0+1, 1, 0) = (1, 1, 0)

Hence

A = |T(e₁), T(e₂)|

We confirm