Which type of matrix has all elements zero except those on the main diagonal? a. Transpose matrix b. Zero matrix c. Diagonal matrix d. Identity matrix
Question
Which type of matrix has all elements zero except those on the main diagonal?
- a. Transpose matrix
- b. Zero matrix
- c. Diagonal matrix
- d. Identity matrix
Solution
Answer
The type of matrix that has all elements zero except for those on the main diagonal is known as a Diagonal matrix.
- Diagonal Matrix: A matrix in which all the entries outside the main diagonal are zero. It can have any values along the diagonal.
- Identity Matrix: A special case of a diagonal matrix where all elements on the main diagonal are equal to 1.
- Zero Matrix: A matrix where all elements are zero, not just those outside the diagonal.
- Transpose Matrix: A matrix obtained by swapping rows with columns, not relevant to the diagonal condition.
Therefore, the correct answer is:
c. Diagonal matrix.
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