Which of the following statements is false?
Which of the following statements is false?
- A. Every diagonal matrix is a scalar matrix
- B. Every identity matrix is a diagonal matrix
- C. Every scalar matrix is a diagonal matrix
- D. A square matrix has equal number of rows and columns
Answer: A) Every diagonal matrix is a scalar matrix
Explanation: A scalar matrix is a diagonal matrix where all diagonal entries are equal. A diagonal matrix with different diagonal entries is not a scalar matrix. So 'Every diagonal matrix is a scalar matrix' is false.
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