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Is this an identity matrix?\newline[0110]\begin{bmatrix} 0 & 1 1 & 0 \end{bmatrix}\newlineChoices:\newlineyes\text{yes}\newlineno\text{no}

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Full solution

Q. Is this an identity matrix?\newline[0110]\begin{bmatrix} 0 & 1 1 & 0 \end{bmatrix}\newlineChoices:\newlineyes\text{yes}\newlineno\text{no}
  1. Define identity matrix: Define an identity matrix. An identity matrix is a square matrix with ones on the main diagonal and zeros elsewhere.
  2. Examine given matrix: Examine the given matrix [01 10]\left[\begin{array}{cc} 0 & 1 \ 1 & 0 \end{array}\right]. Identify the elements on the main diagonal and the elements off the main diagonal. Main diagonal elements: 00, 00 Off-diagonal elements: 11, 11
  3. Compare with identity matrix: Compare the given matrix with the definition of an identity matrix.\newlineFor \begin{bmatrix}0 & 1\1 & 0\end{bmatrix}, the main diagonal elements are not all ones, and therefore, it does not meet the criteria for an identity matrix.

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