Math  /  Algebra

QuestionMultiply the matrices S=(4112)S=\begin{pmatrix} 4 & 1 \\ -1 & -2 \end{pmatrix} and T=(5043)T=\begin{pmatrix} -5 & 0 \\ -4 & 3 \end{pmatrix} to show STTSS T \neq T S. Fill in the boxes: ST=____TS=____S T = \_\_\_\_ \quad T S = \_\_\_\_.

Studdy Solution
The product matrices and $TS$ are = \left[\begin{array}{cc} -24 &3 \\ 13 & -6\end{array}\right] \text { and } TS = \left[\begin{array}{cc} -20 & -5 \\ -19 & -10\end{array}\right] SinceSince is not equal to TSTS, we have shown that multiplication of matrices is not commutative.

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