Prove corresponding rule for four-vectors and four-tensors

Assignment Help Electrical Engineering

Reference no: EM131049924

A useful form of the quotient rule for three-dimensional vectors is this: Suppose that a and b are known to be three-vectors and suppose that for every orthogonal set of axes there is a 3 x 3 matrix T with the property that b = Ta for every choice of a, then T is a tensor.

(a) Prove this.

(b) State and prove the correspornding rule for four-vectors and four-tensors.

Reference no: EM131049924

Questions Cloud

Place of worship and interview a person : Select a religion that is not your own and interview a person of that faith. If possible, visit a place of worship and interview a person of that institution. As an alternative, the interview may be conducted by telephone, written communication (e..

Perform lsd test for pair-wise comparisons : If the means are not all equal, perform LSD test for pair-wise comparisons, and identify all observations that are significant. Use a 5% level of significance

Handling a crisis of epic proportion : Prepare a 4-page paper in APA style, sixth edition format that describes, explains, addresses, and answers the following questions or statements. Which economic system is best suited for handling a crisis of epic proportion (hurricane, flood, bliz..

Benefits of having health insurance for a family : Determine two to three (2-3) benefits of having health insurance for a family. Specify two (2) avenues through which families may obtain health insurance.

Prove corresponding rule for four-vectors and four-tensors : State and prove the correspornding rule for four-vectors and four-tensors

Relationship between it execution and it governance : What is the relationship between IT execution and IT governance? Describe how the COBIT framework institutes mechanisms to control IT risk.

Organizational attitudes and ethics : Analyze and discuss how organizational attitudes and ethics can play a role in your success or failure.

Discuss the japanese work ethic : Discuss the Japanese work ethic. Is this comparable to the American work ethic? Japanese corporations typically involve many more organizational levels and people in the development of implementation plans than do U.S. corporations. Is this ap..

Effective and ineffective communication : Think about your own experiences with both effective and ineffective communication, and select one (1) example of each to analyze.

User Account

All Pages