Q7.Let T:R2→R2 be the linear transformation determined by T(1,0)=(α−6,−4) and T(0,1)=(3,α+1), where α∈R. Let α1 and α2 be the minimum and maximum values, respectively, of α for which T fails to be injective. Find α22−α12.
Save
Check
Details
Q7
3 Aug 2025
Q7.Let T:R2→R2 be the linear transformation determined by T(1,0)=(α−6,−4) and T(0,1)=(3,α+1), where α∈R. Let α1 and α2 be the minimum and maximum values, respectively, of α for which T fails to be injective. Find α22−α12.
