Question

1) Sendo dadas as matrizes: A= ( 8 3 2 4 1 5) B= (1 4 5 3 8 5) C= (-1 8 -2 -4 -3 - 5) calcule:
a) A + B
b) A + C
c) B + C
d) A + B + C

Answer 1

Explicação passo-a-passo:

A)

a= (832)+ b= (145)

(415) (385)

(8+1 3+4 6+2)

(4+3 1+8 5+5)

A+B= (9 7 8)

(7 9 10)

B)

a=(832)+ c=(-18-2)

(415) (-4-3-5)

(8-1 3+8 2-2)

(4-4 1-3 5-5)

A+C= (7 11 0)

(0 -2 0)

C)

b=(145)+ c=(-18-2)

(385) (-4-3-5)

(1-1 5+8 5-2)

(3-4 8-3 5-5)

B+C= (0 13 3)

(-1 5 0)

D)

a=(832)+ b=(145)+ c=(-18-2)

(415) (385) (-4-3-5)

(8+1-1 3+4+8 2+5-2)

(4+3-4 1+8-3 5+5-5)

A+B+C= (8 15 5)

(3 6 5)

Espero ter ajudado!❤️

Answer 2

Sendo dadas as matrizes:

• a) A + B = ( 9  7  7  7  9  10)
• b) A + C = (7  11  0  0  -2  0)
• c) B + C = (0  12  3  -1  5  0)
• d) A + B + C = (8  15  5  3  6  5)

O exercício trata de uma matriz que possui uma linha e 6 colunas, portanto uma matriz 1x6, lê-se um por seis.

Dados:

• $A=\left[\begin{array}{cccccc}8&3&2&4&1&5&\end{array}\right]$
• $B=\left[\begin{array}{cccccc}1&4&5&3&8&5\end{array}\right]$
• $C=\left[\begin{array}{cccccc}-1&8&-2&-4&-3&-5\end{array}\right]$

Calcule:

• a) A + B

$A+B=\left[\begin{array}{cccccc}8&3&2&4&1&5&\end{array}\right] + \left[\begin{array}{cccccc}1&4&5&3&8&5\end{array}\right]\\A+B=\left[\begin{array}{cccccc}8+1&3+4&2+5&4+3&1+8&5+5\end{array}\right]\\A+B=\left[\begin{array}{cccccc}9&7&7&7&9&10\end{array}\right]$

• b) A + C

$A+C=\left[\begin{array}{cccccc}8&3&2&4&1&5&\end{array}\right] + \left[\begin{array}{cccccc}-1&8&-2&-4&-3&-5\end{array}\right]\\A+C=\left[\begin{array}{cccccc}8-1&3+8&2-2&4-4&1-3&5-5\end{array}\right]\\A+C=\left[\begin{array}{cccccc}7&11&0&0&-2&0\end{array}\right]$

c) B + C

$B+C=\left[\begin{array}{cccccc}1&4&5&3&8&5\end{array}\right]+ \left[\begin{array}{cccccc}-1&8&-2&-4&-3&-5\end{array}\right]\\B+C=\left[\begin{array}{cccccc}1-1&4+8&5-2&3-4&8-3&5-5\end{array}\right]\\B+C=\left[\begin{array}{cccccc}0&12&3&-1&5&0\end{array}\right]$

d) A + B + C

$A+B=\left[\begin{array}{cccccc}9&7&7&7&9&10\end{array}\right]\\C=\left[\begin{array}{cccccc}-1&8&-2&-4&-3&-5\end{array}\right]\\A+B+C = \left[\begin{array}{cccccc}9&7&7&7&9&10\end{array}\right]\\+\left[\begin{array}{cccccc}-1&8&-2&-4&-3&-5\end{array}\right]\\\\A+B+C=\left[\begin{array}{cccccc}9-1&7+8&7-2&7-4&9-3&10-5\end{array}\right]\\\\A+B+C=\left[\begin{array}{cccccc}8&15&5&3&6&5\end{array}\right]$

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Bons Estudos!