Solving a 2x2 Determinant Equation

MathematicsDeterminantsMediumYKS

Published:

$$\begin{vmatrix} x-3 & x \\ x & x-3 \end{vmatrix} = 11$$

This question includes visual content: A 2x2 determinant represented by vertical bars, containing the expression: the top row has (x-3) and x, the bottom row has x and (x-3). The determinant is set equal to 11.

Animated Video Solution

The first half plays free, the full solution is in the app.

Step by Step Written Solution

1
Step 1

Merhaba İbrahim. Bu videoda görseldeki ikiye ikilik determinant denklemini adım adım çözeceğiz.

Determinant Denklemi

2
Step 2

İkiye ikilik bir matrisin determinantını, esas köşegen elemanlarının çarpımından diğer köşegen elemanlarının çarpımını çıkararak buluruz.

2x2 Determinant Formülü

$$\begin{vmatrix} a & b \\ c & d \end{vmatrix} = a \cdot d - b \cdot c$$
3
Step 3

Bu kuralı denklemimize uygulayalım.

Denklemin Açılımı

$$(x-3)(x-3) - x \cdot x = 11$$
4
Step 4

Sol tarafı x eksi üçün karesi eksi x kare şeklinde düzenleyebiliriz.

5
Step 5

Şimdi parantez kareyi açalım.

İfadeyi Sadeleştirme

$$x^2 - 6x + 9 - x^2 = 11$$

The rest of this solution is on Solvi

5 more steps are locked. Watch the full animated, narrated solution for free.

Snap a photo, solve any question like this.

Download on the App Store Get it on Google Play

Free to download · First solutions are on us

100K+Questions solved daily
50K+Students learning
4.8 ★App Store rating

About This Question

Subject
Mathematics
Topic
Determinants
Difficulty
Medium
Exam
YKS
Question Type
Open Ended

Solve any question in seconds

Snap a photo and AI explains it step by step with voice and animation.

Download on the App Store Get it on Google Play
Solvi
The full solution is in the appFree to download · First solutions are on us
Get