(Step-by-Step) We denote the set of all n * m matrices with coefficients in R by R^n * m. Which of the following subsets of R^3 * 3 are subspaces of R^3
Question: We denote the set of all \(n \times m\) matrices with coefficients in \(\mathbb{R}\) by \(\mathbb{R}^{n \times m}\). Which of the following subsets of \(\mathbb{R}^{3 \times 3}\) are subspaces of \(\mathbb{R}^{3 \times 3} ?\) Let
\[\begin{aligned} &A=\left[\begin{array}{ccc} 0 & -3 & 0 \\ 4 & 0 & -1 \\ -3 & 3 & 3 \end{array}\right] \\ &a:\left\{M \in \mathbb{R}^{3 \times 3} \mid A M=\left[\begin{array}{lll} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}\right]\right\} \end{aligned}\]
b: \(\left\{M \in \mathbb{R}^{3 \times 3} \mid M\right.\) is invertible. \(\}\)
Deliverable: Word Document 
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