A matrix having m𝑚 rows and n𝑛 columns with m≠n𝑚≠𝑛 is said to be a a.scalar matrixb.identity matrixc.square matrixd.rectangular matrix

Break Down the Problem

1. We need to identify the type of matrix described in the question.
2. The question specifies that the matrix has $m$ rows and $n$ columns with the condition $m \neq n$.

Relevant Concepts

1. Scalar Matrix: A square matrix in which all the elements are equal to a constant.
2. Identity Matrix: A square matrix where all the elements in the main diagonal are 1 and all other elements are 0.
3. Square Matrix: A matrix where the number of rows is equal to the number of columns ($m = n$).
4. Rectangular Matrix: A matrix where the number of rows $m$ is not equal to the number of columns $n$ ($m \neq n$).

Analysis and Detail

1. Since the matrix is defined with $m \neq n$, it cannot be a square matrix.
2. Scalar and identity matrices are also square matrices, thus they cannot apply here.
3. Therefore, the only option that satisfies $m \neq n$ is the rectangular matrix.

Verify and Summarize

• The definition of a rectangular matrix aligns with the given conditions of the problem.
• The matrix cannot be scalar, identity, or square as those definitions contradict the $m \neq n$ condition.

Final Answer

The answer is d. rectangular matrix.