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salman213
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3. a) Assume that A^−1 =
1 0 1
2 1 3
1 0 2
Determine the matrix A^TA
1 0 1
2 1 3
1 0 2
Determine the matrix A^TA
What is the relationship between A and A^TA?
- Thread starter salman213
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Homework Help Overview
The discussion revolves around the relationship between a matrix A and its transpose multiplied by its inverse, specifically focusing on the computation of A^TA given A^−1. The context includes matrix algebra and properties of inverses and transposes.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants explore the calculation of A^TA based on the provided inverse matrix A^−1. There is also a question regarding the properties of inverses, specifically (A^-1)^-1. Some participants discuss the implications of these calculations in the context of a past midterm and upcoming final.
Discussion Status
The discussion includes attempts to clarify the relationship between A and A^TA, with some participants providing insights into the computation process. There is acknowledgment of the need to show work in homework contexts, and while one participant claims to have figured out the relationship, there is no explicit consensus on the final outcome.
Contextual Notes
Participants mention that the questions may relate to homework problems, and there are references to specific rules regarding showing work in the "Homework Help" section. The discussion also indicates that the original poster is preparing for an upcoming final exam.
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