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(A) An identity matrix $I$ is a square matrix in which all the elements of the principal diagonal are $1$ and all other elements are $0$.$A$ scalar ma

Vedclass · Accepted Answer

Every identity matrix is a scalar matrix.

Vedclass · Answer

(A) An identity matrix $I$ is a square matrix in which all the elements of the principal diagonal are $1$ and all other elements are $0$.$A$ scalar matrix is a diagonal matrix in which all the diagonal elements are equal to some constant $k$.Since an identity matrix is a diagonal matrix where all diagonal elements are equal to $1$ (a constant),it satisfies the definition of a scalar matrix.Therefore,every identity matrix is a scalar matrix.

Choose the correct statement regarding matrices.

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