Question

ALGUÉM AJUDA PFVR ಠ_ಠ

05-Dadas as matrizes A = [[3, 5], [- 2, 4]] e B = [[5, - 3], [4, 0]] calcule a matriz X em cada caso:

A) X + B= A
B) X - A = B
C) 4B + X = 3A​

Answer 1

Resposta:

Olá bom dia!

A)

X = A - B

$X = \left[\begin{array}{ccc}3&5\\-2&4\\\end{array}\right] - \left[\begin{array}{ccc}5&-3\\4&0\\\end{array}\right]$

$X = \left[\begin{array}{ccc}3-5&5-(-3)\\-2-4&4-0\\\end{array}\right]$

$X = \left[\begin{array}{ccc}-2&8\\-6&4\\\end{array}\right]$

B)

X = B + A

$X = \left[\begin{array}{ccc}5+3&-3+5\\4+(-2)&0+4\\\end{array}\right]$

$X = \left[\begin{array}{ccc}8&2\\2&4\\\end{array}\right]$

C)

$4.B = \left[\begin{array}{ccc}4.5&4.(-3)\\4.4&4.0\\\end{array}\right]$

$4.B = \left[\begin{array}{ccc}20&-12\\16&0\\\end{array}\right]$

$3.A = \left[\begin{array}{ccc}3.3&3.5\\3.(-2)&3.4\\\end{array}\right]$

$3.A = \left[\begin{array}{ccc}9&15\\-6&12\\\end{array}\right]$

X = 3A - 4B

$X= \left[\begin{array}{ccc}9-20&15-(-12)\\-6-16&12-0\\\end{array}\right]$

$X= \left[\begin{array}{ccc}-11&27\\-22&12\\\end{array}\right]$