P.nilesh Let M₁ =and M3 =[6 0 0]0 0 0M₂=000a1=a2=Го 0The set (M1, M2, M3) spans the space of 3 X 3 diagonalmatrices.a₂=0-3[009][12 0 0Now, D = 0 15 0 can be written as a0 0 75010linear combination of M₁, M2, and M3.That is, D = a₁ M₁ + a2M₂+ a3M3.Determine a₁,a2 and a3.Add WorkГ0 0 070 3 0006Submit Question

We have to find the value of a1 , a2 , a3 .

[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,...

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