Prove that vmatrix -2a & a+b & a+c b+a & -2b & b+c c+a & c+b & -2c vmatrix =…

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Prove that ∣−2aa+ba+cb+a−2bb+cc+ac+b−2c∣=4(b+c)(c+a)(a+b)\begin{vmatrix} -2a & a+b & a+c \\ b+a & -2b & b+c \\ c+a & c+b & -2c \end{vmatrix} = 4(b+c)(c+a)(a+b)

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