Please solve parts 1-4... this is for my introductory linear algebra course... take as much time as needed Problem I Determine for which values of the real parameter a the following matrix is notinvertible.1.5.9.13.17.a 11 a101 11 1 0 11110a 1 1 110 1 11011 1 1a10 aa 01111 011 1 1 0a1 1 110 111 a 011 1 100 1 a 110 1 11 0 11 1 0a12.6.10.14.18.0 1 1 101 a011001 111100 1 1 110 a 11 a0 1101 101 1a110a1 11 a011 03.7.11.15.19.0 1 1 1101 1a 1 0 a11 011 1 10 1 1a10H1 1 10 1 110 a1 a 00 1a11 0 1 110 a11 001 1 1a 0 1 11 011 1 a 04.8.12.16.20.01 1 11 0 1 110 1a1 1 1aa0111a101a1011 10 1a11 0a011 01 1a 1 0 111 00 a10 111 10a1 1 0

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Answered: Problem I Determine for which values of…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.4: Transistion Matrices And Similarity

Problem 29E

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Please solve parts 1-4... this is for my introductory linear algebra course... take as much time as needed

Problem I Determine for which values of the real parameter a the following matrix is not
invertible.
1.
5.
9.
13.
17.
a 11 a
101 1
1 1 0 1
1110
a 1 1 1
10 1 1
10
1
1 1 1
a
1
0 a
a 011
11 01
1 1 1 0
a
1 1 1
10 11
1 a 01
1 1 10
0 1 a 1
10 1 1
1 0 1
1 1 0
a
1
2.
6.
10.
14.
18.
0 1 1 1
0
1 a
01
10
0
1 1
1
1
1
0
0 1 1 1
10 a 1
1 a0 1
10
1 1
01 1
a
1
10
a
1 1
1 a
01
1 0
3.
7.
11.
15.
19.
0 1 1 1
101 1
a 1 0 a
11 0
1
1 1 1
0 1 1
a
1
0
H
1 1 1
0 1 1
10 a
1 a 0
0 1
a
1
1 0 1 1
10 a
11 0
0
1 1 1
a 0 1 1
1 01
1 1 a 0
4.
8.
12.
16.
20.
0
1 1 1
1 0 1 1
10 1
a
1 1 1
a
a
0
1
1
1
a
1
01
a
10
1
1 10 1
a
11 0
a
01
1 01 1
a 1 0 1
11 0
0 a
10 11
1 10
a
1 1 0

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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