Difference between revisions of "031 Review Part 2, Problem 9"

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!Foundations:    
 
!Foundations:    
 
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|Recall:
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|'''1.''' &nbsp;<math style="vertical-align: -5px">\text{det }(AB)=(\text{det }A)(\text{det }B)</math>
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|'''2.''' &nbsp;<math style="vertical-align: 0px">\text{det }I=n</math>
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|'''3.''' &nbsp;<math style="vertical-align: 0px">\text{det }A^T=\text{det }A</math>
 
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Revision as of 17:11, 10 October 2017

If  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A}   is an  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n\times n}   matrix such that  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle AA^T=I,}   what are the possible values of  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{det }A?}


Foundations:  
Recall:
1.  Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\text{det }}(AB)=({\text{det }}A)({\text{det }}B)}
2.  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{det }I=n}
3.  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{det }A^T=\text{det }A}


Solution:

Step 1:  
Step 2:  


Final Answer:  
      

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