Is a null matrix a triangular matrix?

Yep all elements below diagonal are zero in null matrix so its upper triangular matrix. Similarly all elements above diagonal are also zero so it is also a lower triangular matrix.

Is null matrix always a square matrix?

A zero matrix of the order m × n is written in matrix form mathematically as follows. In this null matrix, the number of rows and columns can be equal or different. It means, a zero matrix can be a rectangular matrix or a square matrix.

Can diagonal element of diagonal matrix zero?

A diagonal matrix is defined as a square matrix in which all off-diagonal entries are zero. (Note that a diagonal matrix is necessarily symmetric.) Entries on the main diagonal may or may not be zero.

Is diagonal matrix triangular?

Diagonal matrices are both upper and lower triangular since they have zeroes above and below the main diagonal. The inverse of a lower triangular matrix is also lower triangular. The product of two or more lower triangular matrices is also lower triangular.

What is null matrix?

In mathematics, particularly linear algebra, a zero matrix or null matrix is a matrix all of whose entries are zero. It also serves as the additive identity of the additive group of matrices, and is denoted by the symbol or followed by subscripts corresponding to the dimension of the matrix as the context sees fit.

What is meant by null matrix?

Is null matrix A skew symmetric matrix?

Yes, the null matrix 0 = [0(i, j)] is symmetric as well as skew-symmetric (both)because 0′ = 0 as well as 0′ = -0′ hold .

What is the difference between didiagonal matrix and null matrix?

Diagonal matrix is always a square matrix in which non principle diagonal elements are zero but principle diagonal elements can be zero or non zero. But Null matrix can be square or rectangular matrix.

What is a diagonal matrix?

A diagonal matrix is a type of square matrix in which all off-diagonal elements are zero. It is noted that the diagonal elements may or may not be zero. In this article, you will learn all the important properties and conditions.

What is null matrix O = [X IJ]?

A matrix O = [x ij] is said to be null matrix or zero matrix if x ij = 0 for all values of ‘ i ‘ and ‘ j ‘. This matrix need not to be a square matrix.

Which matrix whose only nonzero elements are on its main diagonal?

Matrix whose only nonzero elements are on its main diagonal. In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero. The term usually refers to square matrices.