Question

RESPONDAM POR FAVOR
sejam as matrizes A =[3 2]
[1 5]
[0 7]
e B=[3 -1]
[-2 4]
[9 8]
determine as seguintes matrizes
a)2a-B
b)At+3.Bt

​

Answer 1

Resposta:

Explicação passo-a-passo:

 2 x $\left[\begin{array}{ccc}3&2\\1&5\\0&7\end{array}\right]$  - $\left[\begin{array}{ccc}3&-1\\-2&4\\9&8\end{array}\right]$

$\left[\begin{array}{ccc}6&4\\2&10\\0&14\end{array}\right]$ - $\left[\begin{array}{ccc}3&-1\\-2&4\\9&8\end{array}\right]$

$\left[\begin{array}{ccc}6-3&4-(-1)\\2-(-2)&10-4\\0-9&14-8\end{array}\right]$

$\left[\begin{array}{ccc}3&5\\4&6\\-9&6\end{array}\right]$

b) $\left[\begin{array}{ccc}3&1&0\\2&5&7\end{array}\right]$ + 3 x $\left[\begin{array}{ccc}3&-2&9\\-1&4&8\end{array}\right]$

$\left[\begin{array}{ccc}3&1&0\\2&5&7\end{array}\right]$ + $\left[\begin{array}{ccc}9&-6&27\\-3&12&24\end{array}\right]$

$\left[\begin{array}{ccc}12&-5&27\\-1&17&31\end{array}\right]$

Answer 2

Explicação passo-a-passo:

• matrizes →

. [ 3 2 ] [ 3 -1 ]

A = [ 1 5 ] B = [-2 4 ]

. [ 0 7 ] [ 9 8 ]

a)2a-B →

. [ 2×3 2×2 ] [ 6 4 ]

A = [ 2×1 2×5 ] 2A = [ 2 10 ]

. [ 2×0 2×7 ] [ 0 14 ]

. [ 6-3 4-(-1) ]

2A - B → [ 2-(-2) 10-4 ]

. [ 0-9 14-8 ]

. [ 3 5 ]

2A - B = [ 4 6 ] ← RESPOSTA

. [-9 6 ]

b)At+3.Bt →

. [ 3 2 ] [ 3 1 0 ]

A = [ 1 5 ] At = [ 2 5 7 ]

. [ 0 7 ]

. [ 3 -1 ] [ 3 -2 9 ]

B = [-2 4 ] Bt = [-1 4 8 ]

. [ 9 8 ]

. [ 3×3 3×(-2) 3×9 ] [ 9 -6 27 ]

3.Bt → [ 3×(-1) 3×4 3×8 ] 3Bt = [-3 12 24 ]

. [ 3+9 1+(-6) 0+27 ]

At + 3Bt → [2+(-3) 5+12 7+24 ]

. [ 12 -5 27 ]

At + 3Bt = [ -1 17 31 ] ← RESPOSTA

att: S.S °^°