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What is the determinant of the following matrix?

$\begin{matrix} 76 && 18 && 34 \\ 14 && 12 && 6 \\ 90 && 30 && 40 \end{matrix}$
in Linear Algebra by Veteran (104k points) | 217 views

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$\begin{vmatrix} 76 & 18 &34\\ 14 & 12 &6\\ 90 & 30 &40 \end{vmatrix}$              Apply R1 <- R1 - R3

$\begin{vmatrix} -14 & -12 &-6\\ 14 & 12 &6\\ 90 & 30 &40 \end{vmatrix}$            Apply R1 <- R1 + R2

     

$\begin{vmatrix} 0 & 0 &0\\ 14 & 12 &6\\ 90 & 30 &40 \end{vmatrix}$

 

Therefore determinant of the matrix is 0.

by Boss (13.7k points)
edited by

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