Worksheet: Adjoint Matrix

In this worksheet, we will practice finding the adjoint matrix for a given square matrix.

Q1:

Find the adjoint matrix of the matrix

  • A 2 7 2 9 7 9 8 5 4
  • B 7 3 1 8 7 7 3 6 8 0 1 0 1 4 6 7 7
  • C 7 3 3 6 1 0 1 1 8 8 4 6 7 7 0 7 7
  • D 7 3 1 8 7 7 3 6 8 0 1 0 1 4 6 7 7

Q2:

Complete the following statement: a linear operator 𝐴 is self-adjoint if and only of it is .

  • Acontinuous
  • Bbounded
  • Cnormal
  • Dsymmetric

Q3:

Find the adjoint matrix of the matrix

  • A 9 3 6 9 2 1 6 2 7
  • B 1 6 3 3 9 5 7 2 7 4 5 3 0 3 6 9
  • C 1 6 5 7 3 0 3 3 2 7 3 6 9 4 5 9
  • D 1 6 3 3 9 5 7 2 7 4 5 3 0 3 6 9

Q4:

Find the adjoint matrix of the matrix

  • A 7 9 8 6 8 4 6 9 9
  • B 3 6 1 5 3 1 0 0 3 0 1 1 1 7 6 6 9 2
  • C 3 6 3 0 6 1 5 3 1 1 1 9 1 0 0 7 6 2
  • D 3 6 1 5 3 1 0 0 3 0 1 1 1 7 6 6 9 2

Q5:

Find the adjoint matrix of the matrix

  • A 7 7 3 7 5 5 9 8 5
  • B 6 5 5 9 2 0 1 0 6 2 5 6 1 0 1 7 8 4
  • C 6 5 1 0 1 0 1 5 9 6 2 7 2 0 5 6 8 4
  • D 6 5 5 9 2 0 1 0 6 2 5 6 1 0 1 7 8 4

Q6:

Find the adjoint matrix of the matrix

  • A 4 4 3 7 8 0 0 7 1
  • B 8 1 7 2 4 7 4 2 1 4 9 2 8 4
  • C 8 7 4 9 1 7 4 2 8 2 4 2 1 4
  • D 8 1 7 2 4 7 4 2 1 4 9 2 8 4

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