Find whether the given matrix is sparseinput:m-no.of rowsn-no.of columnmatrix= []output:True/False

To determine whether a given matrix is sparse, we need to follow these steps:

1. ### Break Down the Problem

1. Define a matrix with dimensions $m$ (number of rows) and $n$ (number of columns).
2. Count the number of non-zero elements in the matrix.
3. A matrix is defined as sparse if the number of non-zero elements is less than half of the total number of elements.

2. ### Relevant Concepts

1. Total elements in the matrix: $m \times n$
2. Condition for a sparse matrix: A matrix is sparse if: $\text{{Number of non-zero elements}} < \frac{m \times n}{2}$

3. ### Analysis and Detail

1. Calculate the total number of elements in the matrix.
2. Count the non-zero elements present in the matrix.
3. Compare the count of non-zero elements against half of the total elements.

4. ### Verify and Summarize

1. If the count of non-zero elements is less than half of the total elements, the output is True (the matrix is sparse).
2. Otherwise, output False (the matrix is not sparse).

Final Answer

Based on the matrix provided, if the condition is satisfied, return True or False accordingly.