Please explain in a sentence only the way of the answer, especially in the marked section. As well as the relationship with the question. Don't give solutions in other ways. Thank u chapter linear algebra solve in 50 minutes (2) Area of TriangleA=11√ of Triangle formed by V' and WA (11012) BC21014) ((|12₁k)| area = 1AB = (20₁1) - (11012)= (1/₁0(-1)AC =/ (112₁K) - (11012)Area = 1₂11 ABXAC² ||пискунорнор] VG =2√6in es7(0₁2, (²-2) (1) p= Vlet X₁ = KX₂=-2KHỂ XÁC12 JEلمكات=- 0 1 -10 2 K-2= 2^[ (K-2)+₂)-ĴEO] HE COLkîSo [ %/1] = K[ -=¹2₂]in onSo eigen Vector 2 =-2 15=-2 15 [12]Row 7.Let A=2 22 -1Find the characteristic polynomial. Find the eigenvalues.Find an eigenvector for each eigenvalue. Find a matrix P?

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Answered: (2) Area of Triangle A=11* Of Triangle…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Please explain in a sentence only the way of the answer, especially in the marked section. As well as the relationship with the question. Don't give solutions in other ways. Thank u chapter linear algebra solve in 50 minutes

(2) Area of Triangle
A=11√ of Triangle formed by V' and W
A (11012) BC21014) ((|12₁k)| area = 1
AB = (20₁1) - (11012)
= (1/₁0(-1)
AC =/ (112₁K) - (11012)
Area = 1₂11 ABXAC² ||
пискунорнор
] VG =
2√6
in es
7
(0₁2, (²-2) (1) p
= V
let X₁ = K
X₂=-2K
HỂ XÁC
12 JE
لمكات
=- 0 1 -1
0 2 K-2
= 2^[ (K-2)+₂)
-ĴEO] HE COL
kî
So [ %/1] = K[ -=¹2₂]
in on
So eigen Vector 2 =-2 15
=-2 15 [12]
Row

7.
Let A=
2 2
2 -1
Find the characteristic polynomial. Find the eigenvalues.
Find an eigenvector for each eigenvalue. Find a matrix P?

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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