2. (a) Consider the equations of 3 planes: a- a°z = 4- a y+2z = 1 r+ 2y + 3z = 5 (i) Write an augmented matrix for this system of equations and perform row operations till in : (ii) Find values of a for which there are/is row echelon form. A. no solutions. B. a point solution. C. a line of solutions.

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2. Express the system of linear equations as a matrix equation in the form Ax =b. - lx1+ 2x2+ x3- X4 = 1 2x1 – x2– x3+2x4 = 0 lxi+x2+2x3 = 2

Write the system first as a vector equation and then as a matrix equation. 8x₁ + x2 3x3 = 9 4x2 + 3x3 = 0 Write the system as a vector equation where the first equation of the system corresponds to the first row. Select the correct choice below and fill in any answer boxes to complete your choice.

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

WHe-the sytems of equations as an augmented "matrix X-34-32= - -5X-3+57=-a (-bX-5y42=-le