For the subspace below, find a basis6а + 12b - 2с9а - 3b - Зс- 12a +5b + 4c|:а, b, c in R-3a +b + c(6,9, – 12, – 3), (12, – 3,5, – 1)(6,9, – 12, – 3), (12, – 3,5,1)(9, – 3, – 3,0), (12, – 3,5,1)d. (6,9, – 12, – 3), (6,9, – 12, – 3)(6,9,12,3), (6,9, – 12, – 3)a.b.C.е.

Answered: Image /qna-images/answer/2bb1d7f4-6f06-4409-80dd-be9696fc34b5.jpg

For the subspace below, find a basis 6a + 12b – 2c 9а - 3b - Зс - 12a + 5b + 4c :a, b, c in R -За + b + c a. (6,9, – 12, – 3), (12,– 3,5, – 1) b. (6,9, – 12, – 3), (12, – 3,5,1) (9, – 3, – 3,0), (12,-3,5,1) d. (6,9, - 12, - 3), (6,9, – 12, – 3) e. (6,9,12,3), (6,9, – 12, – 3) C.

For the subspace below, find a basis 6a + 12b – 2c 9а - 3b - Зс - 12a + 5b + 4c :a, b, c in R -За + b + c a. (6,9, – 12, – 3), (12,– 3,5, – 1) b. (6,9, – 12, – 3), (12, – 3,5,1) (9, – 3, – 3,0), (12,-3,5,1) d. (6,9, - 12, - 3), (6,9, – 12, – 3) e. (6,9,12,3), (6,9, – 12, – 3) C.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.5: Subspaces, Basis, Dimension, And Rank

Problem 10EQ

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

For the subspace below, find a basis
6а + 12b - 2с
9а - 3b - Зс
- 12a +5b + 4c
|:а, b, c in R
-3a +b + c
(6,9, – 12, – 3), (12, – 3,5, – 1)
(6,9, – 12, – 3), (12, – 3,5,1)
(9, – 3, – 3,0), (12, – 3,5,1)
d. (6,9, – 12, – 3), (6,9, – 12, – 3)
(6,9,12,3), (6,9, – 12, – 3)
a.
b.
C.
е.

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