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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.
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Example Multiply 3x 5 + 4x 3 + 2x - 1 and x 4 + 2x 2 + 4. The product is given by 3x 5 . (x 4 + 2x 2 + 4) + 4x 3 . (x 4 + 2x 2 + 4) + 2x .
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show that the subtangent at any point on parabola y2 =4ax is twice the abscissa at that point.
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