MathAlgebraLinear algebraMatrices

Operations with matrices

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If $A = \begin{pmatrix} -2 & 4 \\ -6 & 8 \\ 4 & -10 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & -2 \\ 3 &-4 \\ -2 & 5 \end{pmatrix}$ , which of these statements are true?

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It is impossible to complete this operation

A^T - 2 \times B

A^T+B^T = \begin{pmatrix} -1 & 2 \\ -3 & 4 \\ 2 & -5 \end{pmatrix}

A^T- 2\times B^T = \begin{pmatrix} -3 & -9 & -8 \\ 6 & 12 & -15 \end{pmatrix}

A^T+B^T = \begin{pmatrix} -1 & -3 & 2 \\ 2 & 4 & -5 \end{pmatrix}

3\times A - 6 \times B= \displaystyle O

(zero matrix)

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