Year 11 Maths - Specialist Matrices

Addition, subtraction and multiplication by a real number

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Questions

Question 1

29663

If \(A = \left[ {\begin{array}{{20}{c}}4&3\\2&{ - 1}\end{array}} \right]\) and \(B = \left[ {\begin{array}{{20}{c}}3&7\\2&{ 4}\end{array}} \right]\), find \(A+B\)

Answer

\( \left[ {\begin{array}{*{20}{c}}7&10\\3&{3}\end{array}} \right]\)

Worked Solution

\begin{aligned}
A+B &=\left[\begin{array}{cc}
4 & 3 \\
2 & -1
\end{array}\right]+\left[\begin{array}{ll}
3 & 7 \\
2 & 4
\end{array}\right] \\
&=\left[\begin{array}{cc}
4+3 & 3+7 \\
2+2 & -1+4
\end{array}\right] \\
&=\left[\begin{array}{cc}
7 & 10 \\
4 & 3
\end{array}\right]
\end{aligned}

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