$\left[\begin{array}{lrr}3 & -2 & -7 \\-4 & 5 & 1 \\3 & 0 & 6\end{array}\right]$

question 8

Multiple Choice

$\left[\begin{array}{lrr}3 & -2 & -7 \\-4 & 5 & 1 \\3 & 0 & 6\end{array}\right]$
-Matrices, A, B and C are given by
$A=\left[\begin{array}{lrr}3 & -2 & 4 \\6 & 1 & 0 \\-5 & 9 & 5\end{array}\right]$ $B=\left[\begin{array}{llr}1 & 5 & 0 \\-8 & 4 & 7 \\2 & 3 & -9\end{array}\right]$ $C=\left[\begin{array}{lrr}3 & -2 & -7 \\-4 & 5 & 1 \\3 & 0 & 6\end{array}\right]$
If D = A(2B + 3C) find d₂₃.

• A)- 56
• B)19
• C)- 109
• D)217
• E)324

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Definitions:

Sharecroppers

Farmers who rent land and pay the landowner with a percentage of the crops produced on the land, a system prevalent in the post-Civil War Southern United States.

Domestic Servants

Workers employed in households to perform various housekeeping duties, such as cleaning, cooking, and caregiving.

Sharecropping

A system of agriculture where a landowner allows a tenant to use the land in return for a share of the crops produced on the land.

African Americans

A term referring to citizens or residents of the United States who have origins in any of the black populations of Africa.