![SOLVED:(a) Complete the proof in Example 5 that ⟨·, ·⟩is an inner product (the Frobenius inner product) on Mn ×n(F) (b) Use the Frobenius inner product to compute A,B, and ⟨A, B⟩for SOLVED:(a) Complete the proof in Example 5 that ⟨·, ·⟩is an inner product (the Frobenius inner product) on Mn ×n(F) (b) Use the Frobenius inner product to compute A,B, and ⟨A, B⟩for](https://cdn.numerade.com/previews/caadd3c4-f22c-424f-8fce-aabbc897330d.gif)
SOLVED:(a) Complete the proof in Example 5 that ⟨·, ·⟩is an inner product (the Frobenius inner product) on Mn ×n(F) (b) Use the Frobenius inner product to compute A,B, and ⟨A, B⟩for
![SOLVED: Problem 2. (10 points) Consider the inner product space V = M3x3(C) with the standard (Frobenius) inner product: VA, B ∈ V: (A,B) = tr(B*A) For A ∈ V with entries ( SOLVED: Problem 2. (10 points) Consider the inner product space V = M3x3(C) with the standard (Frobenius) inner product: VA, B ∈ V: (A,B) = tr(B*A) For A ∈ V with entries (](https://cdn.numerade.com/ask_images/857ad5b6d8b745ca92ea559f7bb03ea0.jpg)
SOLVED: Problem 2. (10 points) Consider the inner product space V = M3x3(C) with the standard (Frobenius) inner product: VA, B ∈ V: (A,B) = tr(B*A) For A ∈ V with entries (
![SOLVED: Consider the set of all complex n X n matrices They form vector space The following defines an inner product on this space: (A,B) tr(A" B) This is called the Frobenius SOLVED: Consider the set of all complex n X n matrices They form vector space The following defines an inner product on this space: (A,B) tr(A" B) This is called the Frobenius](https://cdn.numerade.com/ask_images/0da7474bb58c49e08f387a44f6f3b1cc.jpg)
SOLVED: Consider the set of all complex n X n matrices They form vector space The following defines an inner product on this space: (A,B) tr(A" B) This is called the Frobenius
![Beyond Vectors Hung-yi Lee. Introduction Many things can be considered as “vectors”. E.g. a function can be regarded as a vector We can apply the concept. - ppt download Beyond Vectors Hung-yi Lee. Introduction Many things can be considered as “vectors”. E.g. a function can be regarded as a vector We can apply the concept. - ppt download](https://images.slideplayer.com/39/10921565/slides/slide_38.jpg)