6. lol suppose a cubic polynomial y = a +br +cr2-dr3 goes through the points (zi, yi) for i 1, 2,...
6. 10 Suppose a cubic polynomial y2does through the points ( i) fori-1,2,3, 4, where i j for i,j 1,2,3, 4 and i j a) 2 Find the system of equations that determines the coefficients a, b, c and d (b) |6 Find the determinant of the coefficiant matrix using row operations, and show that the coefficient matrix is invertible. Note that you will receive no mark if you compute the determinant using cofactor expansion. (c) [2| Is it possible...
Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A using cofactor expansion of row 3. (ii) Is A invertible? If so, give the third column of A1 (you do not have to simplify any fractions) (b) Let B be the matrix 0 0 4 0 2 8 0 4 2 1 0 0 0 7 Use row operations to find the determinant of B. Make...