Which one of the following statements is not true: - Vidyadip

MCQ

Which one of the following statements is not true:

A
A scalar matrix is a square matrix
B
A diagonal matrix is a square matrix
C
A scalar matrix is a diagonal matrix
✓
A diagonal matrix is a scalar matrix

✓

Answer

Correct option: D.

A diagonal matrix is a scalar matrix

Option $A$ and Option $C$ and option $B -$ true $A$ scalar matrix is a diagonal matrix and every diagonal matrix is a square matrix Hence every scalar matrix is also square matrix Option $D -$ not trueEvery diagonal matrix is square matrix but not vice versa

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