Find the Matrix Product When Possible $A = \left[ \begin{array} { l l } 2 & - 3 \\ 3 & - 2 \end{array} \right]$

question 416

Multiple Choice

Find the matrix product when possible.
-Given $A = \left[ \begin{array} { l l } 2 & - 3 \\ 3 & - 2 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 0 & - 1 \\ - 2 & 3 \end{array} \right]$ , find $A B$ and $B A$

• A)
• \[\mathrm { AB } = \left[ \begin{array} { r r }
• - 3 & 2 \\
• 5 & 0
• \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r }
• 6 & - 11 \\
• 4 & - 9
• \end{array} \right]\]
• B)
• \[A B = \left[ \begin{array} { r r }
• 0 & 3 \\
• - 6 & - 6
• \end{array} \right] ; B A = \left[ \begin{array} { r r }
• 0 & 3 \\
• - 6 & - 6
• \end{array} \right]\]
• C)
• \[A B = \left[ \begin{array} { l l }
• - 6 & 7 \\
• - 4 & 3
• \end{array} \right] ; B A = \left[ \begin{array} { r r }
• 3 & - 2 \\
• - 13 & 12
• \end{array} \right]\]
• D)
• \[\mathrm { AB } = \left[ \begin{array} { r r }
• 6 & - 11 \\
• 4 & - 9
• \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r }
• - 3 & 2 \\
• 5 & 0
• \end{array} \right]\]

---

Definitions:

Respirator

A device designed to protect the wearer from inhaling harmful dusts, fumes, vapors, or gases.

Joint Tenant

An individual co-holder of a property title under the right of survivorship, meaning the property passes to the surviving holders upon one's death.

Life Insurance Policy

A contract with an insurer that pays a designated beneficiary a sum of money upon the death of the insured person.

Certificate of Deposit

A savings certificate with a fixed maturity date and specified fixed interest rate, issued by banks to depositors.