If A = [ 2 3 1 2 ] , B = [ 1 3 2 4 3 1 ] , C = [ 1 2 ] and D = [ 4 6 8 5 7 9 ] , then which of the following is defined?

Question

If $A = [\begin{matrix} 2 & 3 \\ 1 & 2 \end{matrix}], B = [\begin{matrix} 1 & 3 & 2 \\ 4 & 3 & 1 \end{matrix}], C = [\begin{matrix} 1 \\ 2 \end{matrix}]$ and $D = [\begin{matrix} 4 & 6 & 8 \\ 5 & 7 & 9 \end{matrix}],$ then which of the following is defined?

Smart Achievers · Accepted Answer

(4)

Ans. B + D

Explanation:

Only B + D is defined because only matrices of the same order can be added.

Solution

Q.
If $A = [\begin{matrix} 2 & 3 \\ 1 & 2 \end{matrix}], B = [\begin{matrix} 1 & 3 & 2 \\ 4 & 3 & 1 \end{matrix}], C = [\begin{matrix} 1 \\ 2 \end{matrix}]$ and $D = [\begin{matrix} 4 & 6 & 8 \\ 5 & 7 & 9 \end{matrix}],$ then which of the following is defined

1 A + B

2 B + C

3 C + D

4 B + D

Ans.
(4)

Ans. B + D

Explanation:

Only B + D is defined because only matrices of the same order can be added.

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