Determine if b is a linear combination of a,, a,, and a, a, = -3 a2 az = -6 b= -2 2 18 20 Choose the correct answer below. O A. Vector b is a linear combination of a,, a,, and a.. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third column. O B. Vector b is a linear combination of a,, a,, and az. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the fourt column O C. Vectorb is linear combination of a,, a,, and az. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. O D. Vectorb is not a linear combination of a,, a,, and ag.

Determine if b is a linear combination of a,, a,, and a, a, = -3 a2 az = -6 b= -2 2 18 20 Choose the correct answer below. O A. Vector b is a linear combination of a,, a,, and a.. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third column. O B. Vector b is a linear combination of a,, a,, and az. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the fourt column O C. Vectorb is linear combination of a,, a,, and az. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. O D. Vectorb is not a linear combination of a,, a,, and ag.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

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

Determine if b is a linear combination of a,, a,, and a,.
4
a, =
-3
az =
a =
-6
b =
-2
2
18
20
Choose the correct answer below.
O A. Vector b is a linear combination of a,, a,, and a,. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third
column.
O B. Vector b is a linear combination of a,, an, and a,. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the fourth
column.
O C. Vector b is a linear combination of a,, a,, and az. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column.
O D. Vector b is not a linear combination of a,, a,, and ag

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