nxnQ13 A) if AER"and NCA) Containsonly this vector thenga. n=3 and A is inverbibleb n=3 and A is singularC.n=2 and A is invertibledin=l and A is invertibleQ1:0) suppese A-la2 ag)if C:) ¢NCASand () € CA) thengoa.a3 =a2 and azzai a2 anda 2#1b. 93#-a2and as# aja2 and ag =lC. a3ta2 and as tai a 2 and a2t/d. azzag =|QiC) Suppose Ax=b and Ay=c ar@solvalbleThe Az=2b-c issolvable when &and a3=aia2 and an%3DZーメ-2y /b.Z=メー/c.z=2xtyーニメC.Zニd. Z =2x-y

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nxr Q1: A) if AER and NCA) Contains only this vector(: then a. N=3 and A is inverbible b n=3 and A is singular C.n=2 and A is invertible din=l and A is invertible ®1:8) suppose Aazag),if C:) €NCAS and () € CA) bhen az a3 a. a3 =a l.

nxr Q1: A) if AER and NCA) Contains only this vector(: then a. N=3 and A is inverbible b n=3 and A is singular C.n=2 and A is invertible din=l and A is invertible ®1:8) suppose Aazag),if C:) €NCAS and () € CA) bhen az a3 a. a3 =a l.

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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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

nxn
Q13 A) if AER"and NCA) Contains
only this vector then
g
a. n=3 and A is inverbible
b n=3 and A is singular
C.n=2 and A is invertible
din=l and A is invertible
Q1:0) suppese A-la2 ag)if C:) ¢NCAS
and () € CA) thengo
a.
a3 =a2 and azzai a2 anda 2#1
b. 93#-a2and as# aja2 and ag =l
C. a3ta2 and as tai a 2 and a2t/
d. azzag =|
QiC) Suppose Ax=b and Ay=c ar@solvalble
The Az=2b-c issolvable when &
and a3=aia2 and an
%3D
Zーメ-2y /b.Z=メー/c.z=2xty
ーニメ
C.Zニ
d. Z =2x-y

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