Math  /  Algebra

QuestionFind matrix CC such that AB+CT=(10178102015096)A B + C^{T} = \left(\begin{array}{ccc}-10 & -17 & -8 \\ 10 & 20 & 15 \\ 0 & -9 & -6\end{array}\right), where A=(130521)A = \left(\begin{array}{cc}1 & -3 \\ 0 & 5 \\ 2 & -1\end{array}\right) and B=(121253)B = \left(\begin{array}{ccc}1 & -2 & 1 \\ 2 & 5 & 3\end{array}\right).

Studdy Solution
Calculate the transpose of matrix CC^{}.
C=(500050005)C = \left(\begin{array}{ccc}-5 &0 &0 \\0 & -5 &0 \\0 &0 & -5\end{array}\right)So, the matrix CC that satisfies the given equation is C=(500050005)C = \left(\begin{array}{ccc}-5 &0 &0 \\0 & -5 &0 \\0 &0 & -5\end{array}\right).

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