Question

Please answer all four questions and show work.

Find the inverse of each matrix using the reduced row echelon technique. [iii] 20. 2 1 1 [1 1 2 Show that each matrix has no inverse. [-1 2 3] 30. 5 2 0 L 2 -4 -6 For Problems 45-50, use the inverse found in Problem 19. [i 1 -17 19. 3 -1 0 1 2 -3 4 (x + y - z= 6 46.3x – y = 8 ( 2x – 3y + 4z = -3

Answer 1

14) [ 3 ] = A ( Let) Let us form the 2x4 matrix (A/I2) and apply elementary row operations to reduce A to I2 CAI2 = 5, 53 I 07R- O RI-R2 [3201 1 2 1 1 -17 J3 2011 RORI I 2 I 1-1AR R2 11 0 2 -37 1 1 2 :) : (1.1) n d Therefore a

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