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Consider the following statements: 1. Every zero matrix is a square matrix. 2. A matrix has a numerical value. 3. A unit matrix is a diagonal matrix. Which of the above statements is / are correct?

Consider the following statements: 1. Every zero matrix is a square matrix. 2. A matrix has a numerical value. 3. A unit matrix is a diagonal matrix. Which of the above statements is / are correct? Correct Answer 3 only

Concept:

Zero matrices:

A zero matrix is a matrix with all entries are zero.

It is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. 

Unit matrix: A unit matrix is a matrix whose diagonal entries are 1 i.e. all diagonal elements are same and remaining entries are zero

 

Calculations:

A zero matrix is a matrix with all entries are zero. It may be or may not a square matrix.

A matrix has a determinant not numerical value. It is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. 

A unit matrix is a matrix whose diagonal entries are 1 i.e. all diagonal elements are same and remaining entries are zero.

Hence, a unit matrix is a diagonal matrix

 

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