[See Solution] Let M be a matrix of size 4 * 4 and b ∈ R^4. We are given that the equation Mx=b has a solution and it is unique. What is the rank of M?


Question: Let M be a matrix of size 4 \(\times \) 4 and \(b\in {{\mathbb{R}}^{4}}\). We are given that the equation \(Mx=b\) has a solution and it is unique. What is the rank of M? Justify your answer.

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