In Exercises 19 through 24, find the matrix B of the linear transformation T(x⃗)=A x⃗ wit…

May 28,2025

Thomas Carlson

2024-06-10T14:38:51.77687Z

In Exercises 19 through 24, find the matrix B of the linear transformation T(x⃗)=A x⃗ with respect to the basis 𝔅=(v⃗_1, v⃗_2) . For practice, solve each problem in three ways: (a) Use the formula B=S^-1 A S,(b) use a commutative diagram (as in Examples 3 and 4), and (c) construct B^*column by column. quot; A=[[ 5 amp; -3; 6 amp; -4 ]] ; v⃗_1=[[ 1; 1 ]], v⃗_2=[[ 1; 2 ]]

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