Question

Dau coroană
Urgent
Va rog frumos
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Answer 1

Explicație pas cu pas:

1.

a) A(1)=(3 5) => det(A(1))=|3 5| = 3×3-1×5=9-5=4

(1 3) |1 3|

b)A(4)=(6 14)

(4 12)

B²=(1 3)×(1 3)=(4 12)

(1 3) (1 3) (4 12)

2C=(2 2)

(0 0)

B²+2C=(6 14) = A(4)

(4 12)

c)

A(n)+B=(n+3 3n+5) det(A(n)+B)=(n+3)(3n+1)-(3n+5)(n+1)

( n+1 3n+1)

=2n-2=4/+2

2x=6/:2

x=3

2.

a)

1*1=(3×1×1+1)/(1+1)=4/2=2

b)

1*2=(3×1×2+1)/(1+2)=7/3

7/3*3=(3×7/3×3+1)/(7/3+3)=22/(16/3)=33/8

2*3=(3×2×3+1)/(2+3)=19/5

1*19/5=(3×1×19/5+1)/(1+19/5)=(62/5)/(24/5)=62/24=31/12

((1*2)*3)-(1*(2*3))=33/8-31/12=37/24

c)

x*x=(3x²+1)/2x=2/×2x

3x²+1=4x

3x²-4x+1=0

delta=(-4)²-4×3×1=16-12=4

x¹,²=(-b±rad(delta))/2a=(4±2)/(2×3)

x¹=(4+2)/6=1 aparține M

x²=2/6=1/3 aparține M