If A = [ lll 1 & 2 & 3 2 & 3 & 1 ]and B = [ ccc 3 & -1 & 3 -1 & 0… - Vidyadip

Question

If A = $\left[\begin{array}{lll} {1} & {2} & {3} \\ {2} & {3} & {1} \end{array}\right]$and B = $\left[\begin{array}{ccc} {3} & {-1} & {3} \\ {-1} & {0} & {2} \end{array}\right]$ then find 2A – B.

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Answer

We have
2A – B = 2$\left[\begin{array}{lll} {1} & {2} & {3} \\ {2} & {3} & {1} \end{array}\right]-\left[\begin{array}{ccc} {3} & {-1} & {3} \\ {-1} & {0} & {2} \end{array}\right]$
= $\left[\begin{array}{lll} {2} & {4} & {6} \\ {4} & {6} & {2} \end{array}\right]+\left[\begin{array}{rrr} {-3} & {1} & {-3} \\ {1} & {0} & {-2} \end{array}\right]$
= $\left[\begin{array}{ccc} {2-3} & {4+1} & {6-3} \\ {4+1} & {6+0} & {2-2} \end{array}\right]$
= $\left[\begin{array}{ccc} {-1} & {5} & {3} \\ {5} & {6} & {0} \end{array}\right]$

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