alindsey8220 alindsey8220
  • 27-07-2019
  • Mathematics
contestada

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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AlonsoDehner AlonsoDehner
  • 02-08-2019

Answer:

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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