Let b1 = [-1 -2] and b2 = [-3 -5]. The set B = {b1, b2} is a basis for R2. Let T: R2 rightarrow R2 is a linear transformation such that T(b1)= -5b1 + 5b2 and T(b2) = 6b1 + 7b2. Then the matrix of T relative to the basis B is [T]B = , and the matrix of T relative to the standard basis E for R2 is [T]E = .
Show transcribed image textLet b1 = [-1 -2] and b2 = [-3 -5]. The set B = {b1, b2} is a basis for R2. Let T: R2 rightarrow R2 is a linear transformation such that T(b1)= -5b1 + 5b2 and T(b2) = 6b1 + 7b2. Then the matrix of T relative to the basis B is [T]B = , and the matrix of T relative to the standard basis E for R2 is [T]E = .