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Find the Determinant and Inverse Matrix
(a) Find the determinant for A by calculating the elementary products.
(b) Find the determinant for A by reducing the matrix to upper triangular form.
(c) Use a cofactor expansion to calculate the determinant for A.
(d) Find the inverse matrix A-1 by using the adjugate matrix.
(e) Use elementary row operations to find the inverse matrix A-1.
Let f : R 3 → R be de?ned by: f(x, y, z) = xy 2 + x 3 z 4 + y 5 z 6 a) Compute ~ ∇f(x, y, z) , and evaluate ~ ∇f(2, 1, 1) . b) Brie?y
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