Matrice - exercitii

Matrice - exercitii

2.a)

rang A<3

=>rang a=2.

b)

rang a <3

d₂₁=1+4=5 =>rang A 141p154b =2

c)

d=9+a a

1.daca a rang A=3.

2.daca a rang A<3

=>rang A 141p154b =2

3.a)

c1 - 2c4

c2 + c4

c3 -  c4

c2+2*c1

c3 -  c1

d=6*19=114.

d

=>rang A=4.

b)

c3-c1

c2+c1

=>rang A 141p154b =4.

c)

=>rang(A)<4

=>rang (A)=3.

4.a)

d₁₁=5 0 => rang(A)

b)

d₁₁=3 0 =>rang A 141p154b

4.a)

d 0 =>rang(A)=4.

7.Sa se afle a pt.ca matricea A are rangul minim

c1-2c2

c3-c2

c4-3c2

a a

pt a=-45/4 =>grad minim=3.

8.Sa se calculeze rangul

D

a

pt a=3 sau a=-5 =>rang(A)=2

pt a 3 sau a -5 => rang(A)=3

D

pt a=1/13 sau a=-1/3 =>rang(A)=2

pt a 1/13 sau a -1/3 => rang(A)=3