Define T: R² → R² by T(x)= Ax, where A is the matrix defined below. Find a basis B for R² with the property that [T ]B is diagonal. A= -3 -6 8 11

Fill in the missing exponents in each box and show how you found the answer. (4 points: 2 points for each correct answer with work shown) c. (9^4)^? =9^1 d.(5^? )^3=5^1 *question marks represent the boxes