Consider the following linear system written in augmented form: Solve the system using Gaussian elimination (without partial pivoting). Enter your answers in the input boxes below. Use exact values, not decimal numbers. For example if the value is 1% then enter 1/2. $1,1 2,1 $1,2 = $2,2 = $1,3 = T2 ,3 = Consider the following data values: ( 0.52 , -0.72 ), ( 0.97 , -0.05 ), ( 1.46 , 0.53 ), ( 1.8 , 0.86 ), ( 2.12 , 1.01 ), ( 2.22 , 1.12 ), Find the line of best fit in a least squares sense, and use that line to approximate the y-value of the data when a = 0.93 When a = 0.93, then y ~ . When entering your final answers you may round your estimate to five decimal digit accuracy. For example if you calculate the value 1.673526755 enter 1.67353 3 9 8 5 Consider the matrix M := - 7 - 8 6 -8 8 2 5 6 Find the LU factorisation of the matrix M = LU = - O O o 0