Question

2) Dadas as matrizes:
A=
[4]
[7]
[-1]

B =
[-2]
[0]
[2]

C =
[5]
[5]
[5]

a) Calcule A+ B-C:​

Answer 1

Resposta:

$A + B - C=\left[\begin{array}{c}-3&-2&-4\\\end{array}\right]$

Explicação passo-a-passo:

a) A + B - C=

Primeiro, vamos efetuar A + B:

$\left[\begin{array}{c}4&7&-1\\\end{array}\right] +\left[\begin{array}{c}-2&0&2\\\end{array}\right] =\left[\begin{array}{c}4+(-2)&7+0&-1+2\\\end{array}\right] =\left[\begin{array}{c}2&7&1\\\end{array}\right]$

Por fim, iremos subtrair C do resultado de A + B, que obtivemos anteriormente:

$\left[\begin{array}{c}2&7&1\\\end{array}\right] - \left[\begin{array}{c}5&5&5\\\end{array}\right] = \left[\begin{array}{c}2-5&7-5&1-5\\\end{array}\right]=\left[\begin{array}{c}-3&-2&-4\\\end{array}\right]$

Portanto,

$A + B - C=\left[\begin{array}{c}-3&-2&-4\\\end{array}\right]$