Question

Choose the correct answer.
1. 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
(D) A diagonal matrix is a scalar matrix.

Answer 1

Hi ,

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Scalar matrix :
A square diagonal matrix with all it's main

diagonal entries equal is a scalar matrix .
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Option ( C ) is correct.

I hope this helps you.

: )

Answer 2

Answer :-

A scalar matrix is a diagonal matrix that has all equal values in the diagonal.

A scalar matrix will always be in the form :-

$\left[\begin{array}{ccc}a&0&0\\0&a&0\\0&0&a\end{array}\right]$

Here a is some constant

Thus, according to the question, option 'C' is correct.