The following system is reduced to the given matrix below using the Gauss-Jordan elimination method: x - 2y + z = 3 2x+y-3z = -14 -2x+z = 7 1-2 137 0-228 0-4 3 13 1. Perform the necessary row operations correctly without switching the rows, and without changing the entries a11, a21 and a31 in the given matrix above so that a22 =1 and a32-0 Instructions for the answer: Type only all three entries in the last (4th) column of the result matrix and separate them by a comma. No decimals. For example, -1, 3/5,4 2. Continue solving the matrix obtained in part (a) using the Gauss-Jordan method and write the solution.[ Instructions for the answers: Type the solution in this order: x, y, z and must be separated by a comma and No Brackets. For example, 1, 1, 2. If the solution is parametric, use the letter t as a parameter. Place the term containing the letter t at the end of the expression. For example: 4+t/5,-1+2t/3,t

Consider the following linear equations: -2x + 4y + 10z = -5 -2x + (22-k)y+9z = -3 -2x + 4y+(12-k)z =k+9 a) Suppose the above equation is expressed as Ax = b with x = equations in one matrix form as (Alb)= -2 -2 -2 4 -2 10 4 X3 10 -5 b) Use row operations on (Alb) by substracting row 1 from row 2 and row 3 respectively. Fill in the missing entries: Express the coefficients of the -5 Submit part 3 marks Unanswered

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