Use the Appropriate Property of Determinants from This Section to Justify

question 105

Short Answer

Use the appropriate property of determinants from this section to justify the true statement. $$( - 4 ) \left| \begin{array} { c c c } 5 & 1 & - 1 \\7 & 5 & 1 \\5 & 1 & 7\end{array} \right| = \left| \begin{array} { c c c } 5 & - 4 & - 1 \\7 & - 20 & 1 \\5 & - 4 & 7\end{array} \right|$$ 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.

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Definitions:

Estimated Amount

A projection or approximation of a financial figure often used in budgeting or forecasting.

Allowance Method

A method used in accounting to estimate and account for bad debts, representing the amount of accounts receivable that may not be collected.

Allowance for Doubtful Accounts

A contra asset account that represents the estimated portion of accounts receivable that may not be collectible.

Allowance Method

An accounting technique used to estimate and account for doubtful accounts receivable and adjust the amount of accounts receivable reported on the balance sheet.