A linear system of equations is given: x₁-3x2=2 -2x1+4x2-2hx3 =3k -3x2+5x3=4 Find the value/s of h and k so that the above linear system has (a) A unique solution (b) Infinitely many solution, (c) No solution 4 3 Let a = 1 a = 2 a = 3 and b = 5 Determine if bis a linear |-1 || 4 combination of a₁, a₂ and a3. | -2 [-2] -3] [-2] Let u= and v= Find u-2v, and represent it graphically. 2 3

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
Problem 5E
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A linear system of equations is given:
x₁-3x2=2
-2x1+4x2-2hx3 =3k
-3x2+5x3=4
Find the value/s of h and k so that the above linear system has (a) A unique solution (b)
Infinitely many solution, (c) No solution
4
3
Let a =
1
a =
2
a =
3
and b
=
5
Determine if bis a linear
|-1
|| 4
combination of a₁, a₂ and a3.
| -2
[-2]
-3]
[-2]
Let u=
and v=
Find u-2v, and represent it graphically.
2
3
Transcribed Image Text:A linear system of equations is given: x₁-3x2=2 -2x1+4x2-2hx3 =3k -3x2+5x3=4 Find the value/s of h and k so that the above linear system has (a) A unique solution (b) Infinitely many solution, (c) No solution 4 3 Let a = 1 a = 2 a = 3 and b = 5 Determine if bis a linear |-1 || 4 combination of a₁, a₂ and a3. | -2 [-2] -3] [-2] Let u= and v= Find u-2v, and represent it graphically. 2 3
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