Question
Download Solution PDFConsider 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
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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