Proof that the inverse of the inverse of A is just equal to A || Mathematical Economics

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  • čas přidÃĄn 13. 01. 2023
  • 👉 āĻāĻ‡ āĻ­āĻŋāĻĄāĻŋāĻ“āĻ¤ā§‡ āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡ inverse of the inverse āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•ā§‡āĨ¤ āĻ…āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯ āĻ­āĻŋāĻĄāĻŋāĻ“āĻ—ā§āĻ˛ā§‹āĻ° āĻ˛āĻŋāĻ‚āĻ• āĻ¨āĻŋāĻšā§‡ āĻĻā§‡ā§ŸāĻž āĻšā§Ÿā§‡āĻ›ā§‡āĨ¤ āĻ¤ā§‹āĻŽāĻžāĻĻā§‡āĻ° āĻĒā§āĻ°ā§Ÿā§‹āĻœāĻ¨ āĻ…āĻ¨ā§āĻ¯āĻžā§Ÿā§€ āĻ¸ā§‡āĻ—ā§āĻ˛ā§‹ āĻĻā§‡āĻ–ā§‡ āĻ¨āĻŋāĻ¤ā§‡ āĻĒāĻžāĻ°ā§‹āĨ¤
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    Matrix āĻ¯ā§‹āĻ— āĻŦāĻŋā§Ÿā§‹āĻ— āĻ—ā§āĻŖ āĻ­āĻžāĻ—ā§‡āĻ° āĻ…āĻ‚āĻ•āĻ¸āĻŽā§‚āĻš â€ĸ Matrix āĻāĻ° āĻ¯ā§‹āĻ— āĻŦāĻŋā§Ÿā§‹āĻ— āĻ—ā§...
    Co-factor [ āĻ¸āĻš-āĻ—ā§āĻŖāĻ• ] Matrix â€ĸ Co-factor [ āĻ¸āĻš-āĻ—ā§āĻŖāĻ• ] ...
    āĻ‡āĻ¨āĻ­āĻžāĻ°ā§āĻ¸ āĻŽā§‡āĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ āĻŦā§‡āĻ° āĻ•āĻ°āĻžāĻ° āĻ¸āĻšāĻœ āĻĒāĻĻā§āĻ§āĻ¤āĻŋ â€ĸ āĻ‡āĻ¨āĻ­āĻžāĻ°ā§āĻ¸ āĻŽā§‡āĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ āĻŦā§‡āĻ° ...
    Orthogonal [āĻ…āĻ°ā§āĻĨā§‹āĻ—ā§‹āĻ¨āĻžāĻ˛ ] Matrix āĻāĻ° āĻĒā§āĻ°āĻŽāĻžāĻŖ â€ĸ Orthogonal [ āĻ…āĻ°ā§āĻĨā§‹āĻ—ā§‹āĻ¨āĻž...
    āĻŽā§āĻ¯āĻžāĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ā§‡āĻ° āĻ¸āĻžāĻšāĻžāĻ¯ā§āĻ¯ā§‡ āĻŽāĻžāĻ¨ āĻ¨āĻŋāĻ°ā§āĻŖā§Ÿ āĻ•āĻ° â€ĸ āĻŽā§āĻ¯āĻžāĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ā§‡āĻ° āĻ¸āĻžāĻšāĻžāĻ¯ā§āĻ¯ā§‡...
    āĻŽā§āĻ¯āĻžāĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ā§‡āĻ° āĻ°â€ā§āĻ¯āĻžāĻ™ā§āĻ• āĻ¨āĻŋāĻ°ā§āĻŖā§Ÿ â€ĸ āĻŽā§āĻ¯āĻžāĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ā§‡āĻ° āĻ°â€ā§āĻ¯āĻžāĻ™ā§āĻ•...
    āĻĻā§‡āĻ–āĻžāĻ“ āĻ¯ā§‡ A āĻāĻ° āĻ‡āĻ¨āĻ­āĻžāĻ°ā§āĻ¸ āĻ‡āĻ¨āĻŸā§ A āĻ¸āĻŽāĻžāĻ¨ â€ĸ āĻĻā§‡āĻ–āĻžāĻ“ āĻ¯ā§‡ A āĻāĻ° āĻ‡āĻ¨āĻ­āĻžāĻ°ā§āĻ¸ ...
    āĻ‡āĻ¨āĻ­āĻžāĻ°ā§āĻ¸ āĻŸā§āĻ°āĻžāĻ¨ā§āĻ¸āĻĒā§‹āĻœ āĻ¸āĻŽāĻžāĻ¨ āĻŸā§āĻ°āĻžāĻ¨ā§āĻ¸āĻĒā§‹āĻœ āĻ‡āĻ¨āĻ­āĻžāĻ°ā§āĻ¸ â€ĸ āĻĻā§‡āĻ–āĻžāĻ“ āĻ¯ā§‡ āĻ‡āĻ¨āĻ­āĻžāĻ°ā§āĻ¸ āĻŸā§āĻ°āĻžāĻ¨...
    Matrix āĻāĻ° āĻ—ā§āĻŖ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻ…āĻ‚āĻ• â€ĸ āĻŽā§āĻ¯āĻžāĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ āĻ…āĻ§ā§āĻ¯āĻžā§Ÿā§‡āĻ° āĻĒ...
    āĻŦāĻŋāĻĒāĻ°ā§€āĻ¤ āĻŽā§āĻ¯āĻžāĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ā§‡āĻ° āĻ¸āĻžāĻšāĻžāĻ¯ā§āĻ¯ā§‡ āĻ¸āĻŽā§€āĻ•āĻ°āĻŖā§‡āĻ° solve â€ĸ āĻŦāĻŋāĻĒāĻ°ā§€āĻ¤ āĻŽā§āĻ¯āĻžāĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ā§‡āĻ° āĻ¸...
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    āĻ•ā§āĻ°ā§‡āĻŽāĻžāĻ°ā§‡āĻ° āĻ¨āĻŋā§ŸāĻŽā§‡ āĻ¸āĻŽā§€āĻ•āĻ°āĻŖā§‡āĻ° āĻ¸āĻŽāĻžāĻ§āĻžāĻ¨ â€ĸ āĻ•ā§āĻ°ā§‡āĻŽāĻžāĻ°ā§‡āĻ° āĻ¨āĻŋā§ŸāĻŽā§‡ āĻ¸āĻŽā§€āĻ•āĻ°āĻŖ...
    āĻŽā§āĻ¯āĻžāĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ā§‡āĻ° āĻ‡āĻ¨āĻ­āĻžāĻ°ā§āĻ¸ āĻ“ āĻ—ā§āĻŖā§‡āĻ° āĻĒā§āĻ°āĻļā§āĻ¨ āĻ¸āĻŽāĻžāĻ§āĻžāĻŖ â€ĸ āĻŽā§āĻ¯āĻžāĻŸā§āĻ°āĻŋāĻ•ā§āĻ¸ā§‡āĻ° āĻ‡āĻ¨āĻ­āĻžāĻ°ā§āĻ¸ ...
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