(a) Compute the determinant 4 8 8 8 5 0 1 000 8 7 8 8...

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(a) Compute the determinant 4 8 8 8 5 0 1 000 8 7 8 8 3 0 08 200 (b) Show that the equation of the line in R² through distinct points (x,y) and (x, y₂) can be written as 6 8 8 0 1 X det 1X₁₁ [1 X₂ Y₂] = 0 (c) Let A and B be n x n matrices such that AB is singular. Prove that either A or B is singular. (a) Compute the determinant 4 8 8 8 5 0 1 000 8 7 8 8 3 0 08 200 (b) Show that the equation of the line in R² through distinct points (x,y) and (x, y₂) can be written as 6 8 8 0 1 X det 1X₁₁ [1 X₂ Y₂] = 0 (c) Let A and B be n x n matrices such that AB is singular. Prove that either A or B is singular.