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If a^2+b^2+c^2=1, then |(a^2+(b^2+c^2)co...

If `a^2+b^2+c^2=1,` then `|(a^2+(b^2+c^2)cosphi, ab(1-cosphi), ac(1-cosphi)), (ba(1-cosphi), b^2+(c^2+a^2)cosphi, bc(1-cosphi)), (ca(1-cosphi), cb(1-cosphi), c^2+(a^2+b^2)cosphi)|` is independent of

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