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Convert the matrix into echleon form.

then the number of non-zero rows is 3. So rank is 3.

Number of linear independent solutions = order- rank=4-3=1.

Option A is true.
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Tushar Shinde asked Jan 30, 2016
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Answer should be A. But they gave D. Their Explanation: Corresponding to each distinct eigen value, we have atleast one independent eigen vector.