a) X1 + 3x2 + 4x3 + 5x4 = 0 2x₁ + 6x₂ + 9x3 +5x4 = 0 3x1 + X2 + 8x₂ b) 5x₁ 2x₁ + 5x2 3x3 + 2x3 + - 11x4 + 2x4 + X4 + 10 X5 7x5 14 x5 || || || = = = 000
a) X1 + 3x2 + 4x3 + 5x4 = 0 2x₁ + 6x₂ + 9x3 +5x4 = 0 3x1 + X2 + 8x₂ b) 5x₁ 2x₁ + 5x2 3x3 + 2x3 + - 11x4 + 2x4 + X4 + 10 X5 7x5 14 x5 || || || = = = 000
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.7: Rational Expressions
Problem 7E
Related questions
Question
Find a basis for the solution space of the following homogeneous linear system of equations . Write the dimension of each solution space .
![a)
X1 + 3x₂ + 4x3
2x1
+
6x2 + 9x3
3x1
b) 5x₁
++
3x3
X2
8x2 + 2x3
2x1 + 5x2
+
+
+11
5x4
5x4
11x4
2x4
X4
5 || ||
=
+++
500
10 X5 =
7x5
14 x5
|| || ||
=
000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7a7cf5d-31a2-4576-8cd3-b9249db64bed%2F429d2aad-057f-4a65-a2c7-bc9c99c735a8%2Fkvmezrn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a)
X1 + 3x₂ + 4x3
2x1
+
6x2 + 9x3
3x1
b) 5x₁
++
3x3
X2
8x2 + 2x3
2x1 + 5x2
+
+
+11
5x4
5x4
11x4
2x4
X4
5 || ||
=
+++
500
10 X5 =
7x5
14 x5
|| || ||
=
000
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