[1 1 A=0 1 -2 1 2. 21 3 (Part1) Let i) Use elementary row operations to find the inverse A-1 of A. ii) Use your result in (i) above to solve the system x+y+3z 1 y-2z 2 x+2y+2z% = 1 Solve the system (AT)-1X =0 (Part2) (1) Express, if possible, the vector t (1,2,-6) as a linear combination of the vectors u= (0, 1, 2)", v = (1,0, 2)", w = (1,2,0)". Let E = (u, uz, u) and F= (b,.bz), where u,=(1,0. – 1),u, = (1, 2, 1)".u, = (-1, 1, 1)" and b; = (1, -1)', b, (2,-1)'. Find the matrix representing L from R' into R' with respect !! (i1) %3D %3D to the ordered basis E and F where L(x) = (2x2,-x,).

[1 1 A=0 1 -2 1 2. 21 3 (Part1) Let i) Use elementary row operations to find the inverse A-1 of A. ii) Use your result in (i) above to solve the system x+y+3z 1 y-2z 2 x+2y+2z% = 1 Solve the system (AT)-1X =0 (Part2) (1) Express, if possible, the vector t (1,2,-6) as a linear combination of the vectors u= (0, 1, 2)", v = (1,0, 2)", w = (1,2,0)". Let E = (u, uz, u) and F= (b,.bz), where u,=(1,0. – 1),u, = (1, 2, 1)".u, = (-1, 1, 1)" and b; = (1, -1)', b, (2,-1)'. Find the matrix representing L from R' into R' with respect !! (i1) %3D %3D to the ordered basis E and F where L(x) = (2x2,-x,).

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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Question

16.
3
[1 1
A=0 1 -2
11
2.
21
(Part1)
Let
Use elementary row operations to find the inverse A-1 of A.
ii)
Use
your
result in (i) above to solve the system
(x+y+3z = 1
y-2z 2
x+2y+2z% = 1
i)
Solve the system
(AT)-1X = 0
(Part2)
(1)
Express, if possible, the vector t (1,2,-6) as a linear combination of the vectors
u= (0, 1, 2)", v = (1,0, 2)", w = (1,2,0)".
(11)
Let E = (u,, u2, u) and F (b,,b), where u, = (1,0. – 1)",u, = (1, 2, 1)", u, = (-1.1.1)"
and b; (1,-1)', b2 = (2,-1)'. Find the matrix representing L from R' into R' with respect
%3D
%3D
to the ordered basis E and F
where L(x) = (2x2,-x,).

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