Solved: The Determinant of a Scalar Multiple of a Matrix
Chapter 3, Problem 13(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.
\(A=\left[\begin{array}{rrrr}
5 & 0 & -15 & 0 \\
0 & 5 & 0 & 0 \\
-10 & 0 & 5 & 0 \\
0 & -20 & 0 & 5
\end{array}\right]\)
Text Transcription:
|cA| = c^n |A|
n times n
A=[5 0 -15 0
0 5 0 0
-10 0 5 0
0 -20 0 5]
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