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+4 votes

The rank of the matrix $\begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}$ is

  1. $4$
  2. $2$
  3. $1$
  4. $0$
asked in Linear Algebra by Veteran (68.8k points)
edited by | 410 views

1 Answer

+13 votes
Best answer
Rank of this matrix is 1 as the determint of 2nd order matrix is 0 and 1st order matrix is non zero so rank is 1
answered by Veteran (14k points)
selected by
If u ever doubt in exam that rank can also be zero or not, then Only Null matrix has rank zero.
if we check no. of non zero rows , then the ranks becomes 1.   which way we should decide rank and what is the correct answer.

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