Build Identity Matrix

Implement a function to generate an $n \times n$ identity matrix, a fundamental concept in linear algebra. The identity matrix is crucial in various mathematical operations, including matrix multiplication and transformation.

The identity matrix $I$ is defined such that when it multiplies another matrix $A$ , the result is the original matrix $A$ . This property makes the identity matrix the multiplicative identity for matrices. The elements of the identity matrix can be defined using the Kronecker delta $\delta_{ij}$ , where $\delta_{ij} = 1$ if $i = j$ and $\delta_{ij} = 0$ otherwise.

To construct the identity matrix, follow these steps:

Initialize an $n \times n$ matrix with all elements set to 0.
Iterate over each row and column, setting the element at position $(i, j)$ to 1 if $i = j$ , and 0 otherwise.

I_{ij} = \delta_{ij}

This technique is widely used in computer vision for image and signal processing.

To construct the identity matrix, follow these steps:

Initialize an $n \times n$ matrix with all elements set to 0.
Iterate over each row and column, setting the element at position $(i, j)$ to 1 if $i = j$ , and 0 otherwise.

I_{ij} = \delta_{ij}

This technique is widely used in computer vision for image and signal processing.

Example:

Constraints:

Test Results

Build Identity Matrix

Example:

Constraints:

Test Results