Question

1. Dadas as matrizes:
A= 1 0
0 1
B= 2 4
4 -4
c= 1 -3
-5 7 Calcule: a) 2A - B + 2c =
b) A - 2B + C =​

Answer 1

Resposta:

Explicação passo-a-passo:

Operação com matrizes:

A=

[1 0]

[0 1]

B=

[2 4 ]

[4 -4]

c=

[1 -3]

[-5 7]

Calcule:

a) 2A - B + 2c =

2.C

=

[1 -3]

[-5 7]

=

[2 -6]

[-10 14]

2.

A=

[1 0]

[0 1]

=

2 0

0 2

(-) B

[2 4 ]

[4 -4]

=

0 -4

-4 2-(-4)

=

[0 -4]

[-4 6]

+ (2C)

[2 -6]

[-10 14]

=

R.:

[2 -10]

[-14 20]

----------------------

b) A - 2B + C =​

- 2.B

B=

[2 4 ]

[4 -4]

=

-4 -8

-8 8

A- 2B + C

A=

[1 0]

[0 1]

- (2B)

-4 -8

-8 8

=

1-(-4) 0-(-8)

0-(-8) 1-8

=

1+4 0+8

0+8 -7

=

[5 8]

[8 -7]

+ C

[1 -3]

[-5 7]

=

R.:

[6 5]

[3 0]