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If A={:[(1,4,2),(-1,2,3)]:}andB={:[(1,0,...

If `A={:[(1,4,2),(-1,2,3)]:}andB={:[(1,0,0),(0,-1,1)]:}`, verify that
(i) `(A^('))^(')=A`
(ii) `(kB)^(')=kB^(')`
(iii) `(A+B)^(')=A^(')+B^(')`

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To verify the given statements about matrices \( A \) and \( B \), we will go through each part step by step. ### Given Matrices: - \( A = \begin{pmatrix} 1 & 4 & 2 \\ -1 & 2 & 3 \end{pmatrix} \) - \( B = \begin{pmatrix} 1 & 0 & 0 \\ 0 & -1 & 1 \end{pmatrix} \) ### (i) Verify that \( (A^T)^T = A \) ...
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