Vector Geometry, Cross Products and Real Inner Products: Moorean 3-Space
Not what you're looking for?
Please see the attached file for full problem description.
1. Demonstrate (check the properties) that the following function is an inner product in R^3. (Call R^3 with this inner product Moorean 3-space). Let u=(u_1,u_2,u_3) and v=(v_1,v_2,v_3). Then
<u, v> = uAv^T, where A=[ 2 0 0 ]
[ 0 1 0 ]
[ 0 0 2 ]. Show work.
Help: [ 2 0 0 ]
[ 0 1 0 ] : is a 3 x 3 matrix.
[ 0 0 2 ].
Purchase this Solution
Solution Summary
An inner product is found to b in R^3. The solution is detailed and well presented.
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Probability Quiz
Some questions on probability
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.