The set 42 {4x - 4x+6,2x-3x+2,5x - 6x +2 6 x+2} polynomials is a linearly the...

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The set 42 {4x² - 4x+6,2x²-3x+2,5x² - 6x +2 6 x+2} polynomials is a linearly the equation a (4x² has 4x +6) + B (2x²-3x+ has of subset of P2. This is because 3x+2)+7 (52²-6 6x + solution given by [a, 8, y] = +2) = 0 ii) If 5 x² - 6x + 2 is replaced by 6 ² - 5 x + 10, then the set above is now a linearly subset of P2. This is because the equation a (4x² - 4x+6) + B (2x²-3x+2)+7 (62²-5x+10) = 0 r solution given by a,, y = The set 42 {4x² - 4x+6,2x²-3x+2,5x² - 6x +2 6 x+2} polynomials is a linearly the equation a (4x² has 4x +6) + B (2x²-3x+ has of subset of P2. This is because 3x+2)+7 (52²-6 6x + solution given by [a, 8, y] = +2) = 0 ii) If 5 x² - 6x + 2 is replaced by 6 ² - 5 x + 10, then the set above is now a linearly subset of P2. This is because the equation a (4x² - 4x+6) + B (2x²-3x+2)+7 (62²-5x+10) = 0 r solution given by a,, y =