ZEAL TEST

Question

Isn’t the “No of independent rows”= RAnk of matrix?

Comments

@DebRC free and independent variable are same.

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@samarpita fixed

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if rank of the matrix is R and  N is the order of the matrix then

in this matrix N-R indpendent  vector  exist or independent solution exist

1000-640=360

Answer 1

Number of Linearly Independent columns = Rank

Number of Linearly Independent solutions = Nullity

 

Here n = 1000

rank = 640

Therefore number of free columns/ nullity = 1000-640 = 360 = Number of independent solutions.