The Determinant of a Scalar Multiple of a Matrix In Exercises 714, use the fact that cA

Chapter 3, Problem 11

(choose chapter or problem)

In Exercises 7–14, use the fact that \(|c A|=c^{n}|A|\) to evaluate the determinant of the \(n \times n\) matrix.

\(A=\left[\begin{array}{rrr}

2 & -4 & 6 \\

-4 & 6 & -8 \\

6 & -8 & 10

\end{array}\right]\)

Text Transcription:

|cA| = c^n |A|

n times n

A=[2  -4  6

-4  6  -8

6  -8  10]

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