if A =[1 -4 3]and B=[-1&2&1], then (AB)' is equal to

Question

if A =[1 -4 3]and B=[-1&2&1], then (AB)' is equal to (A) [-1&4&-3 2&-8&6 1&-4&3] (B) [-1&2&1 4&-8&-4 -3&6&3] (C) [1&4&-3 2&-8&6 1&4&3] (D) [-1&4&-3 2&8&6 1&-4&3]

Tardigrade Admin · Accepted Answer

(AB)= [1 -4 3][-1&2&1]=[-1&2&1 4&-8&-4 -3&6&3] (AB)' =[-1&4&-3 2&-8&6 1&-4&3]

Q. if $A = ⎣ ⎡ 1 - 4 3 ⎦ ⎤$ and $B = [- 1 21]$ , then $(A B)^{'}$ is equal to

$⎣ ⎡ - 1 21 4 - 8 - 4 - 3 63 ⎦ ⎤$

$⎣ ⎡ - 1 4 - 3 2 - 8 6 1 - 4 3 ⎦ ⎤$

$⎣ ⎡ 121 4 - 8 4 - 3 63 ⎦ ⎤$

$⎣ ⎡ - 1 21 48 - 4 - 3 63 ⎦ ⎤$

$(A B) = ⎣ ⎡ 1 - 4 3 ⎦ ⎤ [- 1 21] = ⎣ ⎡ - 1 4 - 3 2 - 8 6 1 - 4 3 ⎦ ⎤$
$(A B)^{'} = ⎣ ⎡ - 1 21 4 - 8 - 4 - 3 63 ⎦ ⎤$

Q. if A=⎣⎡​1−43​⎦⎤​and B=[−1​2​1​], then (AB)′ is equal to

⎣⎡​−121​4−8−4​−363​⎦⎤​

⎣⎡​−14−3​2−86​1−43​⎦⎤​

⎣⎡​121​4−84​−363​⎦⎤​

⎣⎡​−121​48−4​−363​⎦⎤​