[6 0 0] Let M₁ 0 0 0 M₂ = 000 and M3 = = The set {M₁, M2, M3) spans the space of 3 X 3 diagonal matrices. 50 0 07 0-3 [009] [120 01 Now, D 0 15 0 can be written as a 0 0 75] a1= linear combination of M₁, M₂, and M3- That is, D = a₁ M₁ + a₂M₂ + a3M3 Determine a₁,a2 and a3. го о 07 030 006 a2= 100 a₂=
[6 0 0] Let M₁ 0 0 0 M₂ = 000 and M3 = = The set {M₁, M2, M3) spans the space of 3 X 3 diagonal matrices. 50 0 07 0-3 [009] [120 01 Now, D 0 15 0 can be written as a 0 0 75] a1= linear combination of M₁, M₂, and M3- That is, D = a₁ M₁ + a₂M₂ + a3M3 Determine a₁,a2 and a3. го о 07 030 006 a2= 100 a₂=
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
P.nilesh
![Let M₁ =
and M3 =
[6 0 0]
0 0 0M₂=
000
a1=
a2=
Го 0
The set (M1, M2, M3) spans the space of 3 X 3 diagonal
matrices.
a₂=
0-3
[009]
[12 0 0
Now, D = 0 15 0 can be written as a
0 0 75
01
0
linear combination of M₁, M2, and M3.
That is, D = a₁ M₁ + a2M₂+ a3M3.
Determine a₁,a2 and a3.
Add Work
Г0 0 07
0 3 0
006
Submit Question](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7017fa2-d3ee-4d28-afb1-6bd0b9945fc2%2F56203648-19e6-4fb6-a73e-5241e6526f93%2F5enp8eh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let M₁ =
and M3 =
[6 0 0]
0 0 0M₂=
000
a1=
a2=
Го 0
The set (M1, M2, M3) spans the space of 3 X 3 diagonal
matrices.
a₂=
0-3
[009]
[12 0 0
Now, D = 0 15 0 can be written as a
0 0 75
01
0
linear combination of M₁, M2, and M3.
That is, D = a₁ M₁ + a2M₂+ a3M3.
Determine a₁,a2 and a3.
Add Work
Г0 0 07
0 3 0
006
Submit Question
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