Matrix Calculation Help: Calculate a, b, and c with Worked Examples

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Homework Help Overview

The discussion revolves around calculating values from given matrices, specifically focusing on parts a), b), and c) of a problem involving determinants. Participants express uncertainty about the calculations required and seek clarification on the process.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the interpretation of the matrices as determinants and question how to calculate them. There is an attempt to derive expressions for the determinants, particularly for part a).

Discussion Status

Some guidance has been offered regarding the calculation of determinants, and there is an ongoing exploration of the correct expressions for the results. Multiple interpretations of the calculations are being considered, particularly in part a).

Contextual Notes

The original poster indicates a lack of clarity on what calculations are necessary and requests worked examples, suggesting potential constraints in understanding the topic fully.

eddysd
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The question just says "Calculate" followed by these:

a)
|a+b -b|
| b a-b|

b)
| 2 4-n|
| 1 2 |

c)
|0 a 0|
|0 0 b|
|c 0 0|

In the question the lines at the edges are joined up, but not brackets. I don't know what to calculate or how to do it. A worked example would be helpful!
 
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These things between two vertical lines can be determinants. Look after, how to calculate the value of a determinant.

ehild
 


So for part a) would the answer be: a^2 - 2b^2 ?
 


Not quite... You have to subtract (-b^2).

ehild
 


oh yeah, woops, so it's actually just a^2?
 

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