Use the Appropriate Property of Determinants from This Section to Justify

question 89

Short Answer

Use the appropriate property of determinants from this section to justify the true statement. $$\left| \begin{array} { c c c } 1 & 4 & 6 \\- 2 & 7 & 8 \\- 4 & - 1 & 2\end{array} \right| = \left| \begin{array} { c c c } 1 & 4 & 6 \\- 2 & 7 & 8 \\0 & 15 & 26\end{array} \right|$$ Do not evaluate the determinants. Property number 1: If any row (or column) of a square matrix A contains only zeros, then | A | = 0. Property number 2: If square matrix B is obtained from square matrix A by interchanging two rows (or two columns), then | B | = $-$ | A |. Property number 3: If square matrix B is obtained from square matrix A by multiplying each element of any row (or column) of A by some real number k , then | B | = k | A |. Property number 4: If square matrix B is obtained from square matrix A by adding k times a row (or column) of A to another row (or column) of A , then | B | = | A |. Property number 5: If two rows (or columns) of a square matrix A are identical, then | A | = 0. Enter property number only.

---

Definitions:

Interest Payable

A liability account on a company's balance sheet representing the amount of interest expense that has been incurred but not yet paid.

Adjusting Entry

A journal entry made at the end of an accounting period to allocate income and expenditure to the appropriate period for a more accurate financial report.

Salaries Payable

An accounting liability representing the amounts owed to employees for work performed but not yet paid.

Adjusting Entry

Journal entries made at the end of an accounting period to update account balances to their correct amounts before the preparation of financial statements.