#matrix

Question

1). If the row reduced form of a matrix has more than two non-zero entries in any row, then the corresponding  system of equations has inifinitely many solutions.

2). If the row reduced form of a matrix has more than two non-zero entries in any row. then the corresponding system of equations either has infinitely many solutions or no solutions.

T/F?

Comments

in any row means atleast one row or every row??

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any row means 1 row

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ans will be infinitely many solution

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then both are false,

as there could be infinite many solutions or no solution or even unique solution.

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Both the statements are False.

They should have mentioned about the rank of matrix A & argumented matrix [A:B] and the number of unknowns.

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Yes both are false.

Actually it depends on rank, we cannot reach to the exact solution like these statements.

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but answer is given as C