Which one is the identity matrix

Mathematics

ScanSolve AI Answer

An identity matrix is a square matrix where all the elements on the main diagonal are 11s and all other elements are 00s. It is denoted by InI_n, where nn is the dimension of the matrix.

For example, the 2×22 \times 2 identity matrix is:

[1001]\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}

And the 3×33 \times 3 identity matrix is:

[100010001]\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}

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

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