Given the determinants of the following matrices: 2 -12 2-6 3 9 6 -6 #⠀⠀⠀H =-60, det 1 14 1 2 -2 19 -1 7 det 2-4 2-6 3-6 1 -2 1 2 -6 -2 5 -1 7 X= 0 -30, det 2 -4 -12 -6 3 -6 9 -6 1 -2 14 2 Find the (unique) solution to the following system: 2x1-4x2+2x3-6x4 = -12 3x1-6x2+6x3-6x4 = 9 x1-2x2+x3+2x4 = 14 -2x1+5x2-x3+7x4 = 19 -2 5 19 7 =150, det 2 4 2 12 3 -6 6 9 1 -2 1 14 -2 5 -1 19 = 120, det -12 -4 2-6 9 -66-6 14 -2 1 2 19 5 -1 7 =-90

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