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Algebra

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Moderate

Determining if Two Determinants are Equivalent

ALGEBR-2EKN1H

Decide if the determinants are equivalent as shown in the equation.

Which statement best describes whether or not the equation is true?

$$\begin{vmatrix} 4&-7\\\ -2&3\\\end{vmatrix}=\begin{vmatrix}13&13\\\ -1&1\\\end{vmatrix}$$

A

The determinants are equivalent because $26=26$.

B

The determinants are equivalent because $-2=26$.

C

The determinants are not equivalent because $-2\neq26$

D

The determinants are not equivalent because $26\neq0$.