Question

Dadas as matrizes A=[1 2]
[7 -5]
B= [-3 4]
[2 6]
C=[6 4]
[3 2]
Calcule: a)a+b b) 2a+b c) A-3b+c d) -4a+3b+2c

Answer 1

Resposta:

Explicação passo-a-passo:

A=

[1 2]

[7 -5]

B=

[-3 4]

[2 6]

C=

[6 4]

[3 2]

Calcule:

a)a+b (ok)

[1 2]

[7 -5]

+

[-3 4]

[2 6]

=

[-2 6]

[9 1]

R.:

[-2 6]

[9 1]

______________

b) 2a+b (ok)

2.

[1 2]

[7 -5]

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

=

[2 4]

[14 -10]

+

[-3 4]

[2 6]

=

[-1 8]

[16 -4]

R.:

[-1 8]

[16 -4]

_____________

c) A-3b+c (ok)

A

=

[1 2]

[7 -5]

- 3.

[-3 4]

[2 6]

=

9 -12

-6 -18

________________

[1 2]

[7 -5]

9 -12

-6 -18

=

[10 -10]

[1 -23]

+

[6 4]

[3 2]

=

[16 -6]

[4 -21]

R.:

[16 -6]

[4 -21]

____________

d)

-4a+3b+2c

- 4.A

-4.

[1 2]

[7 -5]

=

[-4 -8]

[-28 20]

3. B

3.

[-3 4]

[2 6]

=

-9 12

6 18

2. C

2.

[6 4]

[3 2]

=

[12 8]

[6 4]

________________

[-4 -8]

[-28 20]

+

-9 12

6 18

+

[12 8]

[6 4]

=

[-1 12]

[-16 42]

R.:

[-1 12]

[-16 42]