The following wave function |A) is defined in a given basis as |A) = (9 ...

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The following wave function |A) is defined in a given basis as |A) = (9 – 2i) lu1) +4i lu2) - lu3) +i lu4) (a) Find the dual vector (A|. (b) Assuming that the |u;) are an orthonormal basis, determine the represen- tation of |A) as a column vector in this basis. (c) Find the row vector representing the dual vector. (d) Compute the inner product (A |A) and normalize |A). The following wave function |A) is defined in a given basis as |A) = (9 – 2i) lu1) +4i lu2) - lu3) +i lu4) (a) Find the dual vector (A|. (b) Assuming that the |u;) are an orthonormal basis, determine the represen- tation of |A) as a column vector in this basis. (c) Find the row vector representing the dual vector. (d) Compute the inner product (A |A) and normalize |A).