If A = [ 2 - 3 4 ] , B = [ 3 2 2 ] , X = [ 1 2 3 ] and Y = [ 2 3 4 ] , then A B + X Y equals:

Question

If $A = [\begin{matrix} 2 & - 3 & 4 \end{matrix}], B = [\begin{matrix} 3 \\ 2 \\ 2 \end{matrix}], X = [\begin{matrix} 1 & 2 & 3 \end{matrix}]$ and $Y = [\begin{matrix} 2 \\ 3 \\ 4 \end{matrix}],$ then $A B + X Y$ equals:

Smart Achievers · Accepted Answer

(1)

Ans. [28]

Explanation:

$A B + X Y = [\begin{matrix} 2 & - 3 & 4 \end{matrix}] [\begin{matrix} 3 \\ 2 \\ 2 \end{matrix}] + [\begin{matrix} 1 & 2 & 3 \end{matrix}] [\begin{matrix} 2 \\ 3 \\ 4 \end{matrix}]$

$= [8] + [20]$

$= [28]$

Solution

Q.
If $A = [\begin{matrix} 2 & - 3 & 4 \end{matrix}], B = [\begin{matrix} 3 \\ 2 \\ 2 \end{matrix}], X = [\begin{matrix} 1 & 2 & 3 \end{matrix}]$ and $Y = [\begin{matrix} 2 \\ 3 \\ 4 \end{matrix}],$ then $A B + X Y$ equals:

1 [28]

2 [24]

3 28

4 24

Ans.
(1)

Ans. [28]

Explanation:

$A B + X Y = [\begin{matrix} 2 & - 3 & 4 \end{matrix}] [\begin{matrix} 3 \\ 2 \\ 2 \end{matrix}] + [\begin{matrix} 1 & 2 & 3 \end{matrix}] [\begin{matrix} 2 \\ 3 \\ 4 \end{matrix}]$

$= [8] + [20]$

$= [28]$

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