If ( A=begin{pmatrix} 3 & 5 -1 & 2 end{pmatrix} ) and ( B=begin{pmatrix} 2 & -1 3 & 4 end{pmatrix} ), find the matrix ( C ) such that ( C = 2A - 3B ).

Question

If ( A=begin{pmatrix} 3 & 5  -1 & 2 end{pmatrix} ) and ( B=begin{pmatrix} 2 & -1  3 & 4 end{pmatrix} ), find the matrix ( C ) such that ( C = 2A - 3B ).

Accepted Answer

Step:1 ：( C = 2A - 3B rightarrow C = 2begin{pmatrix} 3 & 5  -1 & 2 end{pmatrix} - 3begin{pmatrix} 2 & -1  3 & 4 end{pmatrix} )Step:2 ：( C = begin{pmatrix} 6 & 10  -2 & 4 end{pmatrix} - begin{pmatrix} 6 & -3  9 & 12 end{pmatrix} )Step:3 ：( C = begin{pmatrix} 6-6 & 10+3  -2-9 & 4-12 end{pmatrix} )

Answer

Step: 1 ：( C = 2A - 3B rightarrow C = 2begin{pmatrix} 3 & 5  -1 & 2 end{pmatrix} - 3begin{pmatrix} 2 & -1  3 & 4 end{pmatrix} )Step: 2 ：( C = begin{pmatrix} 6 & 10  -2 & 4 end{pmatrix} - begin{pmatrix} 6 & -3  9 & 12 end{pmatrix} )Step: 3 ：( C = begin{pmatrix} 6-6 & 10+3  -2-9 & 4-12 end{pmatrix} )

If \( A=\begin{pmatrix} 3 & 5 \\ -1 & 2 \end{pmatrix} \) and \( B=\begin{pmatrix} 2 & -1 \\ 3 & 4 \end{pmatrix} \), find the matrix \( C \) such that \( C = 2A - 3B \).

Answer

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