Which one is the identity matrix

March 27, 2026Mathematics

ScanSolve AI Answer

March 27, 2026

Answer

An identity matrix is a square matrix with 1s on the main diagonal and 0s elsewhere.

An identity matrix is a square matrix where all the elements on the main diagonal are $1$ s and all other elements are $0$ s. It is denoted by $I_n$ , where $n$ is the dimension of the matrix.

For example, the $2 \times 2$ identity matrix is: $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$ And the $3 \times 3$ identity matrix is: $\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}$

The final answer is $\boxed{An identity matrix is a square matrix with 1s on the main diagonal and 0s elsewhere.}$

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Quick Answer

An identity matrix is a square matrix where all the elements on the main diagonal are 1s and all other elements are 0s.

Asked on March 27, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 27, 2026

An identity matrix is a square matrix where all the elements on the main diagonal are 1s and all other elements are 0s. It is denoted by I_n, where n is the dimension of the matrix. For example, the 2 × 2 identity matrix is: 1 & 0 \\ 0 & 1 And the 3 × 3 identity matrix is: 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 The final answer is An identity matrix is a square matrix with 1s on the main diagonal and 0s elsewhere.