2) Show that the three columns on the left all lie in the same plane: 0-0-0-0 If the right hand side vector was the zero vector, find all possible solu- tions to this system.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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Do question no. 2 only in good handwriting

(2) Show that the three columns on the left all lie in the same plane:
2
() -- () ---- ()
x +
2 y + 4 = 1
4
7
If the right hand side vector was the zero vector, find all possible solu-
tions to this system.
(3) Consider the following three matrices:
1 0 0
1 0 0
(680)
- (!!!)
0 0 1
0 1 0,
E₁=
E2 =
001 E3 =
A=
/1 0
0 1 0
0 1,
(a) Multiply the matrix A by each of E1, E2, and E3 from the left.
a b c
d e f
hk
Transcribed Image Text:(2) Show that the three columns on the left all lie in the same plane: 2 () -- () ---- () x + 2 y + 4 = 1 4 7 If the right hand side vector was the zero vector, find all possible solu- tions to this system. (3) Consider the following three matrices: 1 0 0 1 0 0 (680) - (!!!) 0 0 1 0 1 0, E₁= E2 = 001 E3 = A= /1 0 0 1 0 0 1, (a) Multiply the matrix A by each of E1, E2, and E3 from the left. a b c d e f hk
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