Solved: The Determinant of a Scalar Multiple of a Matrix In Exercises 714, use the fact

Chapter 3, Problem 12

(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}

40 & 25 & 10 \\

30 & 5 & 20 \\

15 & 35 & 45

\end{array}\right]\)

Text Transcription:

|cA| = c^n |A|

n times n

A=[40  25  10

30  5  20

15  35  45]

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