Solved

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. ∣146−278−4−12∣=∣146−27801526∣\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.

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions