Solve the system in Problem 26A by writing the system as a matrix equation and using the inverse of the coefficient matrix (see Problem 25). Also, solve the system if the constants 1, 3, and 3 are replaced by 0, 0, and –2, respectively. By –3, –4, and 1, respectively.

Data from Problem 26

Solve by Gauss–Jordan elimination:

Data from Problem 25

Find the inverse of the matrix A given below by appropriate row operations on [A| I]. Show that A^–1A = I.

Transcribed Image Text:

3 = 1 2x₁ + 3x₂ + 4x3 = 3 X₁ + 2x₂ + x3 = 3 X₁ + 2x₂x3 = 2 = 2x₁ + 3x₂ + x3 = -3 = -1 3x₁ + 5x₂ (C) x₁ + x₂ + x3 = X2 (A) X₁ + 2x₂ + 3x3 (B) 3x₁ + 2x₂ + 4x3 = 8 21