Use the Appropriate Property of Determinants from This Section to Justify

question 148

Short Answer

Use the appropriate property of determinants from this section to justify the true statement. $$\left| \begin{array} { c c c } 7 & 9 & 15 \\8 & - 12 & 4 \\7 & 6 & - 1\end{array} \right| = - \left| \begin{array} { c c c } 7 & 15 & 9 \\8 & 4 & - 12 \\7 & - 1 & 6\end{array} \right|$$ 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:

Articulatory Loop

A component of the working memory model that deals with auditory information, allowing sounds and words to be retained in short-term memory through rehearsal.

Codes

In the context of data, codes represent rules or systems used for transforming information into a confidential, encrypted, or shorthand format.

Segments

Parts or sections into which something is divided or separated.

Chunks

Units of information grouped together to be processed or remembered as a single unit, facilitating easier recall.