Matrix with respect to a basis and relationshop with original basis 2 ). 4 Matrix A...

 

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Matrix with respect to a basis and relationshop with original basis 2 ²). 4 Matrix A (¹ 3 The B matrix of Ais Basis B 1-3 -24 (-¹) and (1) this means that "U₁ and 2 act under A in the exact same way that the standard basis vectors (1, 0) and (0, 1) under B". Yet another way of saying this: "B is the same linear transformation as A, with v₁ 'relabeled' as (1, 0) and 2 'relabeled' as (0, 1)". What does this mean? When I calculate A with B and Bmatrix of A with S I get two different matrices. Matrix with respect to a basis and relationshop with original basis 2 ²). 4 Matrix A (¹ 3 The B matrix of Ais Basis B 1-3 -24 (-¹) and (1) this means that "U₁ and 2 act under A in the exact same way that the standard basis vectors (1, 0) and (0, 1) under B". Yet another way of saying this: "B is the same linear transformation as A, with v₁ 'relabeled' as (1, 0) and 2 'relabeled' as (0, 1)". What does this mean? When I calculate A with B and Bmatrix of A with S I get two different matrices.

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Solution Given statement is v1 and v2 act under A in the exact same way that the standard basis vect... View the full answer