When checking if b is a linear combination, can you explain to me in how do you determine if b is a linear combination, for Linear Algebra? 3 -2 064 -3 -5 and bH2LO -1 2If possible, write b as a linear combination of the columns of A.Let AX==O We can write b as a linear combination of the columns of A.3-20X 4+X-3 +x-52Ob is not a linear combination of the columns of A.b=

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Answered: Let A = X 4 -3 -5 and b 14 3 -2 0 b= =…

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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When checking if b is a linear combination, can you explain to me in how do you determine if b is a linear combination, for Linear Algebra?

3 -2 0
6
4 -3 -5 and b
H
2
LO -1 2
If possible, write b as a linear combination of the columns of A.
Let A
X
=
=
O We can write b as a linear combination of the columns of A.
3
-2
0
X 4+
X-3 +
x-5
2
Ob is not a linear combination of the columns of A.
b=

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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