Question1 Which of the statements below is not true with respect to the homogene

Question

Question1 Which of the statements below is not true with respect to the homogeneous linear system Ax = 0? The system is consistent-there is always at least one solution, namely, the trivial solution, x = 0. The system has a nontrivial solution if and only if there is at least one free variable. The system has a nontrivial solution if and only if all columns of matrix A are pivot columns. If the system has a nontrivial solution, the free variables are used as parameters to describe the solution set. The set of all nontrivial solutions represents a line through the origin if there is one free variable and a "plane" through the origin if there are two or more free variables B. c. D. E.

Explanation / Answer

Question 1

option (C) is False

At least one entry in x is nonzero

Question 2

Option (A)

It is not required to be last coulmn in pivot

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