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31 January, 16:25

true or false If a linear system has no solution, the rank of the coefficient matrix must be less than the number of equations.

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  1. 31 January, 16:45
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    Step-by-step explanation:

    Given that a linear system has no solution.

    If a system of equations is represented by

    Ax=B

    where A = matrix formed by coefficients and B the constants

    Wwhenever A is singular we find that either the system has no solution or infinite solutions.

    i. e. whenever there is no solution, we have A singular, i. e. rank of matrix will be definitely less than the number of equations/variables.
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