Matrices And Determinants

Let a, b, c, d in arithmetic progression with common difference \(\lambda\). If \(\left| {\matrix{ {x + a - c} & {x + b} & {x + a} \cr {x - 1} & {x + c} & {x + b} \cr {x - b + d} & {x + d} & {x + c} \cr } } \right| = 2\), then value of \(\lambda\)² is equal to ________________.