Justify the statements whether it is true or false

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In mark each statement True or False. Justify each answer.

a. A homogeneous system of equations can be inconsistent.

b. If x is a nontrivial solution of Ax = 0, then every entry in x is nonzero.

c. The effect of adding p to a vector is to move the vector in a direction parallel to p.

d. The equation Ax = b is homogeneous if the zero vector is a solution.

e. If Ax = b is consistent, then the solution set of Ax = b is obtained by translating the solution set of Ax = 0.

Reference no: EM131073188

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