A First Course in Linear Algebra · Problem PDM-RQ1

Eigenvalues — Robert Beezer

Mathematics — Linear Algebra · determinants-row-operations

Problem

Consider the two matrices below, and suppose you already have computed

\det(A) = -120

. What is

\det(B)

? Why?

A = \begin{bmatrix} 0 & 8 & 3 & -4 \\ -1 & 2 & -2 & 5 \\ -2 & 8 & 4 & 3 \\ 0 & -4 & 2 & -3 \end{bmatrix} \qquad B = \begin{bmatrix} 0 & 8 & 3 & -4 \\ 0 & -4 & 2 & -3 \\ -2 & 8 & 4 & 3 \\ -1 & 2 & -2 & 5 \end{bmatrix}