Can a $1 \times 1$ Matrix be any of these following type?

matricesmatrix equations

I have some questions regarding $1 \times 1$ matrix as there was so much confusion on the $1 \times 1$ matrix. I just wanted to be sure.
They all are true/false questions basically.

Can a 1X1 Matrix be –

  • Row Matrix?
  • Column Matrix?
  • Square Matrix?
  • Diagonal Matrix?
  • Scalar Matrix?
  • Identity Matrix?
  • Null Matrix?
  • Upper Triangular Matrix?
  • Lower Triangular Matrix?
  • Symmetric Matrix?
  • Skew Symmetric Matrix?

Answers:

Best Answer

  • All $1 \times 1$ matrices are square, diagonal, scalar, upper triangular, lower triangular, and symmetric.

  • The only $1 \times 1$ matrix which is an identity matrix is $[1]$ .

  • The only $1 \times 1$ matrix which is either skew-symmetric or null is $[0]$.

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