2x+y+z=7 4x−3y+2z=4 3x+2y−2z=5 Write the system in matrix form Ax=B. Determine the inverse matrix A−1. Use the inverse matrix to find the solution vector x.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2x+y+z=7
4x−3y+2z=4
3x+2y−2z=5

  1. Write the system in matrix form Ax=B.
  2. Determine the inverse matrix A−1.
  3. Use the inverse matrix to find the solution vector x.
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