Problem

Consider the matrix Note that matrix A is in reduced row-echelon form. For wh...

Consider the matrix

Note that matrix A is in reduced row-echelon form.

For which positive integers j = 1, . . . , 7 does there exist a vector in the kernel of A such that the j th component x j of is nonzero, while all the components x j+1, . . . , x7 are zero?

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