4) This is linear algebra ! write neatly, answer only. Diagonalize the given matrix if possible: A=D=1 0[9].and P =1 -101The matrix A cannot be diagonalized.4 0D= [9]-P-1]4]and0 -4[102-1] OThe matrix A cannot be diagonalized.D=D=4 0-41 00 1and P =and P =1 4]0-12 -101

Our Aim is to diagonalize the matrix A=120-1

Answered: Diagonalize the given matrix if…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section6.2: The Algebra Of Matrices

Problem 3E: Which of the following operations can we perform for a matrix A of any dimension? (i) A+A (ii) 2A...

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Question

4) This is linear algebra ! write neatly, answer only.

Diagonalize the given matrix if possible: A
=
D=
1 0
[9].
and P =
1 -1
0
1
The matrix A cannot be diagonalized.
4 0
D= [9]-P-1]
4]
and
0 -4
[1
0
2
-1]

O
The matrix A cannot be diagonalized.
D=
D=
4 0
-4
1 0
0 1
and P =
and P =
1 4]
0
-
1
2 -1
01

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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