Worksheet: Inverse of a 4x4 Matrix

In this worksheet, we will practice finding the inverse of a four-by-four matrix.

Q1:

Find , given that

  • A
  • B
  • C
  • D
  • E

Q2:

Using elementary row operations, find 𝐴 1 for the given matrix if possible.

  • A 𝐴 = 1 4 3 2 1 5 2 5 2 3 0 2 1 0 1 1 0 1 1
  • B 𝐴 = 2 5 2 3 3 2 1 5 0 2 1 0 1 1 0 1 1
  • C 𝐴 = 3 2 1 5 2 5 2 3 0 2 1 0 1 1 0 1 1
  • D 𝐴 = 1 4 3 2 1 5 2 1 6 6 2 0 8 4 0 1 2 1 1 1
  • E The matrix has no inverse.

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