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Soluções para a tarefa
Resposta:
Explicação:
1)
A=
[4 13 0]
[-2 3 -1]
B=
[-3 -5 6]
[2 15 2]
C=
[20 0 10]
[1 -1 5]
A)
A+B+C
4-3+20 13-5+0 0+6+10
-2+2+1 3+15-1 -1+2+5
=
[21 8 16]
[1 17 6]
________
B)
A=
[4 13 0]
[-2 3 -1]
B=
[-3 -5 6]
[2 15 2]
C=
[20 0 10]
[1 -1 5]
A - B + C
4-(-3)+20 13-(-5)+0 0-6+10
-2-2+1 3-15+(-1) -1-2+5
4+3+20 13+5 4
-4+1 -12-1 -3+5
=
R.:
[27 18 4]
[-3 -13 2]
__________
C)
A=
[4 13 0]
[-2 3 -1]
B=
[-3 -5 6]
[2 15 2]
C=
[20 0 10]
[1 -1 5]
A - B - C
4-(-3)-20 13-(-5)-0 0-6-10
-2-2-1 3-15-(-1) -1-2-5
=
-13 18 -16
-5 -11 - 8
==========
2)
A=
1 3
-4 2
B =
-2 0
3 1
A)
A.B
A.B =
[1 3] . [-2 0]
[-4 2] [3 1]
1.(-2)+3.3 1.0+3.1
(-4).(-2)+2.3 -4.0+2.1
-2+9 0+3
8+6 0+2
R.:
=
[7 3]
[14 2]
============
B)
B.A
[-2 0] . [1 3]
[3 1 ] . [-4 2]
-2.1+0.(-4) -2.3+0.2
3.1+1.(-4) 3.3+1.2
-2+0 -6+0
3-4 9+2
R.:
=
[-2 -6]
[-1 11]
__________
C)
2.(A.B)
2 x
[7 3]
[14 2]
R.:
=
[14 6]
[28 4]
___________
D)
[2 3 4] . [1 2 3]
[1 0 -2] . [2 5 6]
[0 4 1] . [3 -1 4]
C.D
2.1+3.2+4.3 2.2+3.5+4.(-1) 2.3+3.6+4.4
1.1+0.2-2.3 1.2+0.5-2.(-1) 1.3+0.6-2.4
0.1+4.2+1.3 0.2+4.5+1.(-1) 0.3+4.6+1.4
2+6+12 4+15-4 6+18+16
1-6 2+2 3-8
8+3 20-1 24+4
R.:
=
[20 15 40]
[-5 4 -5]
[11 19 28]