In Order for a Matrix a to Have an Inverse $$A = \left( \begin{array} { c c } 3 & 6 \\- 2 & 1\end{array} \right)$$

question 19

Essay

In order for a matrix A to have an inverse, its determinant cannot be zero.Derive the
determinant of the following matrices: $$A = \left( \begin{array} { c c } 3 & 6 \\- 2 & 1\end{array} \right)$$
$$B = \left( \begin{array} { c c c } 1 & - 1 & 2 \\1 & 0 & 3 \\4 & 0 & 2\end{array} \right)$$
$\boldsymbol { X } ^ { \prime } \boldsymbol { X }$ where $X = \left( \begin{array} { l l } 1 & 10 \end{array} \right)$

---

Definitions:

Millions

A numerical value representing one million units of a given item or currency, often used to describe large quantities or financial figures.

Current Assets

Holdings that are likely to be transformed into cash, merchandised, or expended either within the span of one year or throughout the standard operating period of the enterprise, should that exceed one year.

Accounts Receivables

Money owed to a business by its clients or customers for goods or services that have been delivered but not yet paid for.

Accounts Payable

Liabilities of a company or an organization consisting of money owed to suppliers or creditors for goods and services received that are not yet paid for.