doubt

Question

Is a null matrix also a diagonal matrix? i read somewhere atleast one element in diagonal should be non zero to be a diagonal matrix  //provided null matrix will be square and can a null square matrix be a scalar matrix ?

Comments

A diagonal matrix is always a square matrix in which non-principle diagonal elements are zero but principal diagonal elements can be zero or none zero but Null matrix can be a square or rectangular matrix.

Hence, we can say that square null matrix is also a diagonal matrix.

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we can say that, the null matrix can be a diagonal matrix but null matrix should be square.

A zero square matrix is lower triangular, upper triangular, and also diagonal.

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Means Null matrix should be square matrix then it will definetly be a diagonal matrix.

rty??

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Shubhanshu  bro different people have different views some saying atleast one element in diaagonal should be non-zero to be a diagonal matrix

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SQUARE null matrix is also a diagonal matrix. Null matrix can be square or rectangular matrix and diagonal matrix are types of square matrix. Null matrix is one whose all elements are equal to 0. Diagonal matrix is a square matrix whose non diagonal elements are equal to 0 and diagonal elements may/may not be equal to zero. So, we can say that,null matrix can be diagonal matrix but null matrix should be square. For more details, you may refer

://www.quora.com/Is-a-null-matrix-also-a-diagonal-matrix

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How do we determine whether a matrix has an inverse?

 

://www.researchgate.net/post/How_do_we_determine_whether_a_matrix_has_an_inverse