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Question

Linear Algebra Question on Matrices

The maximum number of linearly independent eigenvectors of the matrix
(1100 2200 0030 0013 )\begin{pmatrix} 1 & 1 & 0 & 0 \\\ 2 & 2 & 0 & 0 \\\ 0 & 0 & 3 & 0 \\\ 0 & 0 & 1 & 3 \\\ \end{pmatrix}
is equal to _________.

Answer

The correct answer is 3.