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Update matrixmystics.md
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Ashutosh-iitrpr authored May 14, 2024
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Expand Up @@ -194,7 +194,7 @@ $$B=\begin{bmatrix} 1 & 2 \\ 2 & 4\\ \end{bmatrix}:\mathbb{R^2}\mapsto \mathbb{R
(ii) $$\mathscr{C}=\{\alpha(1,2) + \beta(3,6) | \alpha, \beta\in \mathbb{R}\} $$<br>
(iii) $$\mathscr{N}=\{(x,y)| x(1,3) + y(2,6) = 0, \forall x,y\in \mathbb{R} \}$$<br>

2. Note that $$\mathscr{R}$$ and $$\mathscr{N}$$ are orthogonal.<br>
2. Note that $$\mathscr{C}$$ and $$\mathscr{N}$$ are orthogonal.<br>

3. What is the null-space of $$M=\begin{bmatrix} 1 & 3 \\ 2 & 6\\ \end{bmatrix}$$ & the null-space of $$M^T$$?<br>

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