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Mathematics, 19.05.2020 22:13 heroicblad

Suppose H is an ntimesn matrix. If the equation Hxequalsc is inconsistent for some c in set of real numbers R Superscript n, what can you say about the equation Hxequals0? Why? Select the correct choice below. A. The statement that Hxequalsc is inconsistent for some c is equivalent to the statement that Hxequalsc has a solution for every c. From this, all of the statements in the Invertible Matrix Theorem are true, including the statement that the columns of H form a linearly independent set. Thus, Hxequals0 has an infinite number of solutions. B. The statement that Hxequalsc is inconsistent for some c is equivalent to the statement that Hxequalsc has no solution for some c. From this, all of the statements in the Invertible Matrix Theorem are false, including the statement that Hxequals0 has only the trivial solution. Thus, Hxequals0 has no solution. C. The statement that Hxequalsc is inconsistent for some c is equivalent to the statement that Hxequalsc has a solution for every c. From this, all of the statements in the Invertible Matrix Theorem are true, including the statement that Hxequals0 has only the trivial solu

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