Describe all solutions of ax0 in parametric vector form, where a is row equivalent to the given matrix.
Thursday, April 20, 2023
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Question: Describe all solutions of ax0 in parametric vector form, where a is row equivalent to the given matrix.
The solutions of the equation Ax = 0, where matrix A is row equivalent to a given matrix, can be described in parametric vector form as x = t₁v₁ + t₂v₂ + ... + tₙvₙ, where t₁, t₂, ..., tₙ are scalar parameters and v₁, v₂, ..., vₙ are vectors corresponding to the free variables in the RREF of A.
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