Question

Calcule el determinante indicado. (a) $\left|\begin{array}{rrr}0 & 2 & -5 \\ 0 & 4 & 6 \\ 0 & 0 & -1\end{array}\right|$ (b) $\left|\begin{array}{rrrr}6 & 6 & 3 & -2 \\ 0 & 4 & 7 & 5 \\ 0 & 0 & -3 & 2 \\ 0 & 0 & 0 & 2\end{array}\right|$ (c) $\left|\begin{array}{lll}2 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 9\end{array}\right|$

   Calcule el determinante indicado.
(a) $\left|\begin{array}{rrr}0 & 2 & -5 \\ 0 & 4 & 6 \\ 0 & 0 & -1\end{array}\right|$
(b) $\left|\begin{array}{rrrr}6 & 6 & 3 & -2 \\ 0 & 4 & 7 & 5 \\ 0 & 0 & -3 & 2 \\ 0 & 0 & 0 & 2\end{array}\right|$
(c) $\left|\begin{array}{lll}2 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 9\end{array}\right|$

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Álgebra lineal : fundamentos y aplicaciones

Álgebra lineal : fundamentos y aplicaciones

Bernard Kolman,… 1st Edition

Chapter 3, Problem 15

Instant Answer

Step 1

The matrix given is: \[ \begin{array}{ccc} 0 & 2 & -5 \\ 0 & 4 & 6 \\ 0 & 0 & -1 \end{array} \] This is a triangular matrix (all entries below the main diagonal are zero). The determinant of a triangular matrix is the product of the diagonal entries. Therefore, Show more…

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Calcule el determinante indicado. (a) $\left|\begin{array}{rrr}0 & 2 & -5 \\ 0 & 4 & 6 \\ 0 & 0 & -1\end{array}\right|$ (b) $\left|\begin{array}{rrrr}6 & 6 & 3 & -2 \\ 0 & 4 & 7 & 5 \\ 0 & 0 & -3 & 2 \\ 0 & 0 & 0 & 2\end{array}\right|$ (c) $\left|\begin{array}{lll}2 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 9\end{array}\right|$

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