hi

can anyone tell me if at all there is any way in which rank of a matrix can be equal to 0?? and if P(A)!=P(adjA)..???

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- September 11th 2012, 06:53 AMnoop2012rank of matrix
hi

can anyone tell me if at all there is any way in which rank of a matrix can be equal to 0?? and if P(A)!=P(adjA)..??? - September 11th 2012, 07:26 AMHallsofIvyRe: rank of matrix
The rank of a matrix (or, more generally, linear transformation) is the dimension of its image. As long as the matrix A is non-zero (has any non-zero components), it will map some non-zero vector to a non-zero vector and any multiple of that is in its image so the image has dimension at least 1. The only matrix with rank 0 is the zero matrix. Whether the matrix is symmetric or not is irrelevant.

- September 14th 2012, 05:35 AMnoop2012Re: rank of matrix
thank you so much ...