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Question

The rank of the matrix, M = 011101110 is

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Solution

Given data

M = 0111011103×3

Determinant of M

|M|=∣ ∣011101110∣ ∣

= 0(0 - 1) - 1(0 - 1) +1(1 - 0)

= 1 + 1 = 2

|M|0

Hence, rank of the matrix is '3'

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