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Which matrix is equal to the product HJ
(Picture attached)
Answer choices:
A.) [26 over 2]
B.) [80 over -44]
C.) [83 over -29]
D.) [76 over 0]

Which matrix is equal to the product HJ Picture attached Answer choices A 26 over 2 B 80 over 44 C 83 over 29 D 76 over 0 class=

Respuesta :

mathmate
Multiply the first row of H and first column of J to get
2*(-1)+5*3+10*7=83 [top value]
For the second row and first column of J
-4(-1)+3(3)-6(7)=4+9-42=-29  [bottom value]

Answer:

Option C is correct.

Step-by-step explanation:

Given are two Matrix H and J

order of matrix H is 2 × 3 and order of matrix J is 3 × 1

Since column of H matrix matches with rows of J matrix.

Product possible and exist.

H×J = [tex]\begin{bmatrix}2 & 5 & 10\\-4 & 3 & -6\end{bmatrix}\times\begin{bmatrix}-1\\3\\7\end{bmatrix}=\begin{bmatrix}2\times(-1)+5\times3+10\times7\\ -4\times(-1)+3\times3+(-6)\times7\end{bmatrix}[/tex]

[tex]=\begin{bmatrix}-2+15+70\\ 4+9-42\end{bmatrix}=\begin{bmatrix}83\\ -29\end{bmatrix}[/tex]

Therefore, Option C is correct.

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