Use a Graphing Calculator to Find the Matrix Product And/or $\mathrm{A}(\mathrm{B}+\mathrm{C})$

question 6

Multiple Choice

Use a graphing calculator to find the matrix product and/or sum.
-Find $\mathrm{A}(\mathrm{B}+\mathrm{C})$ .
$$A=\left[\begin{array}{rrrr}19 & -14 & 18 & 18 \\30 & 5 & -7 & 2 \\11 & 3 & -2 & 1 \\-5 & 32 & 5 & 10\end{array}\right] B=\left[\begin{array}{rrr}5 & 17 & 12 \\7 & 6 & -4 \\-12 & -9 & 15 \\3 & -2 & -14\end{array}\right] C=\left[\begin{array}{rrr}7 & -4 & 3 \\-16 & -19 & 20 \\-6 & -15 & -8 \\5 & 16 & 17\end{array}\right]$$

• A) \( \left[\begin{array}{rrr}174 & 249 & 241 \\ 457 & 521 & 487 \\ 149 & 166 & 202 \\ -358 & -461 & 502\end{array}\right] \quad \)
• B) \( \left[\begin{array}{rrr}-158 & 37 & 305 \\ 259 & 580 & 297 \\ 97 & 206 & 88 \\ 174 & 58 & -28\end{array}\right] \)
• C)\( \left[\begin{array}{rrr}174 & 37 & 305 \\ 457 & 521 & 487 \\ 97 & 206 & 88 \\ 174 & -461 & 502\end{array}\right] \)
• D) Does not exist

---

Definitions:

For AGI Deduction

Deductions that are subtracted from gross income to arrive at adjusted gross income, potentially lowering taxable income.

Health Insurance Premiums

The amount paid periodically to a health insurer for coverage of medical expenses.

Early Withdrawal Penalty

A fee charged for withdrawing funds from an investment or retirement account before a specified age or period.

Form 1099-INT

A tax form in the United States used to report interest income from banks and other financial institutions.