1.) Let B {(1,1), (-2,3)}, and B' = {(1,-1), (0,1)} be bases for R?, and let A = | [3 21 4] Lo be the matrix for T: R2 → R² relative to B. a.) Find the transition matrix P from B' to B. b.) Use the matrices P and A to find [v]B and [T(v)]g where [v]p = [1 – 3]" c.) Find P-1 and A' (the matrix for T relative to B' d.) Find [T(v)]B, two ways.
1.) Let B {(1,1), (-2,3)}, and B' = {(1,-1), (0,1)} be bases for R?, and let A = | [3 21 4] Lo be the matrix for T: R2 → R² relative to B. a.) Find the transition matrix P from B' to B. b.) Use the matrices P and A to find [v]B and [T(v)]g where [v]p = [1 – 3]" c.) Find P-1 and A' (the matrix for T relative to B' d.) Find [T(v)]B, two ways.
1.) Let B {(1,1), (-2,3)}, and B' = {(1,-1), (0,1)} be bases for R?, and let A = | [3 21 4] Lo be the matrix for T: R2 → R² relative to B. a.) Find the transition matrix P from B' to B. b.) Use the matrices P and A to find [v]B and [T(v)]g where [v]p = [1 – 3]" c.) Find P-1 and A' (the matrix for T relative to B' d.) Find [T(v)]B, two ways.
In terms of Linear Algebra. Please Identify all parts (A,B,C,D)
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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