Question

In a square matrix all the elements along primary diagonals are

a) equal to three
b) equal to one
c) equal to zero
d) equal to two

write explaination ​

Answer 1

Answer:

In a scalar matrix all diagonal elements should be equal but may or may not be equal to 1 only.

Therefore Every scalar matrix is not a identity matrix.

Option A-Incorrect

Option B : In a identity matrix all elements in principal diagonal are equal (equal to 1) which is a form of scalar matrix.

Therefore identity matrices are scalar.

Option B-incorrect

Option C: In a diagonal matrix, the diagonal elements are non zero (but may not be 1) and rest all are zeroes.

Hence every diagonal matrix may not be identity matrix.

Option D: In a identity matrix only diagonal elements are 1 and the rest are zeroes.

Option D- incorrect

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Answer 2

Answer:

A square matrix is called diagonal if all its elements outside the main diagonal are equal to zero. A diagonal matrix is called the identity matrix if the elements on its main diagonal are all equal to 1. (All other elements are zero).

Explanation:

option C is correct answer

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