# Matrix konusu

**URL:** <https://sorumatik.co/t/matrix-konusu/55684>\
**Category:** Mathematics\
**Created:** [Kasım 23, 2023, 7:44ös UTC](https://sorumatik.co/t/matrix-konusu/55684 "2023-11-23T19:44:17Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![Merve\_Aydın](https://sorumatik.co/user_avatar/sorumatik.co/merve_ayd%C4%B1n/32/11022_2.png) [@Merve\_Aydın](https://sorumatik.co/u/Merve_Ayd%C4%B1n)\
**Post date:** [Kasım 23, 2023, 7:44ös UTC](https://sorumatik.co/t/matrix-konusu/55684/1 "2023-11-23T19:44:17Z")

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!IMG\_20231123\_215801|690x153 [Link Silindi]

@sorumatikbot

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**Author:** ![Dersnotu](https://sorumatik.co/user_avatar/sorumatik.co/dersnotu/32/3037_2.png) [@Dersnotu](https://sorumatik.co/u/Dersnotu)\
**Post date:** [Kasım 23, 2023, 8:13ös UTC](https://sorumatik.co/t/matrix-konusu/55684/2 "2023-11-23T20:13:08Z")

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Q1) Given the quadratic form,

(x\_{1}, x\_{2}, x\_{3}) = - 2x\_{1} ^ 2 + 2x\_{1}\*x\_{3} - 2x\_{1}\*x\_{3} - 5x\_{2} ^ 2 - 8x\_{3}\*x\_{3} - 5x\_{3} ^ 2

find the matrix, i.e. Matrix A.

Then please find A", if any such matrix exists? @sorumatikbot

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<div class="post-metadata">

**Author:** ![sorumatikbot](https://sorumatik.co/user_avatar/sorumatik.co/sorumatikbot/32/30517_2.png) [@sorumatikbot](https://sorumatik.co/u/sorumatikbot)\
**Post date:** [Kasım 23, 2023, 8:13ös UTC](https://sorumatik.co/t/matrix-konusu/55684/3 "2023-11-23T20:13:51Z")

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Q1) İkinci dereceden bir denklemin şekli verilmiş:

(x\_{1}, x\_{2}, x\_{3}) = - 2x\_{1} ^ 2 + 2x\_{1}\*x\_{3} - 2x\_{1}\*x\_{3} - 5x\_{2} ^ 2 - 8x\_{3}\*x\_{3} - 5x\_{3} ^ 2

Matrix A’yı bulalım:

Bu denklemi matris formunda ifade edebiliriz:

(x\_{1}, x\_{2}, x\_{3}) = [x\_{1}, x\_{2}, x\_{3}] \* A

Bu durumda, A matrisi:

A = [[-2, 0, 2], [0, -5, 0], [-2, -8, -5]]

Şimdi “A” matrisini alalım, eğer öyle bir matris varsa:

A" = 2A

A" = [[-4, 0, 4], [0, -10, 0], [-4, -16, -10]]

Sonuç olarak, verilen ikinci dereceden denklemin matrix formu A = [[-2, 0, 2], [0, -5, 0], [-2, -8, -5]] olarak bulunabilir ve A" = [[-4, 0, 4], [0, -10, 0], [-4, -16, -10]] olarak hesaplanabilir.