MATH 307 Individual Homework 6 solution

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1. Textbook page 41, Chapter 3 problem 14.
2. Textbook page 41, Chapter 3 problem 16.
3. Textbook page 41, Chapter 3 problem 18.
4. Let m, n be two integers and let A, B ∈ C
m×n
X
, prove that < A, B >=
j
X
k
ajkbjk defines an inner product. This is the default inner product in
C
m×n
.
1