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Rank of a Matrix
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A matrix A is said to be of rank r if there is at least one non zero minor of order r and every minor of order r+1 is zero. Eg: Consider a matrix A, [2 -1 5] |3 0 6| [4 1 7] |A|=0 So the minor of third order is zero There exists a minor of second order |3 0| |1 4| which is equal to 3 Thus a minor of second order is not zero. So rank of A is 2  |
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-ADARSH NITK Surathkal |
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