Let I be a linear operator on R defined by T (x, x) = (-x,x). Then...

Transcribed Image Text:

Let I be a linear operator on R² defined by T (x₁, x₂) = (-x₂,x). Then which of the following is true? (T-CI) is invertible for every ceR except exactly two real numbers. (T-CI) is invertible for every real numbers c except exactly one real number. (T-CI) is invertible for every real number c. None of these Let I be a linear operator on R² defined by T (x₁, x₂) = (-x₂,x). Then which of the following is true? (T-CI) is invertible for every ceR except exactly two real numbers. (T-CI) is invertible for every real numbers c except exactly one real number. (T-CI) is invertible for every real number c. None of these

Answer rating: 100% (QA)

The detailed ... View the full answer