Write the following expressions in index notation: (a) a₁A₁1 + a₂A₁1 + α3A₁1 + α₁A22 + a₂A22 + a3A22 + a₁A33 + a₂A33 + a3A33- (b) a₁b₁c₁d₁ + a₂b₂c₁d₁ + α3b³c₁d₁ + a₁b₁c₂d₂ + a₂b₂c₂d₂ + a3b3c₂d₂ + α₁ b₁c3d3 + a₂b₂c3d3 + a3b3c3d3. (c) A: A-A: AT where A is a second order tensor.

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