यदि A = [ lll 3 & 3 & 2 4 & 2 & 0 ] तथा B = [ rrr 2 & -1 & 2 1 & 2 & 4 ] तो (A + B)^ = A^ + B^ को सत्यापित कीजिए।

यहाँ A = [ lll 3 & 3 & 2 4 & 2 & 0 ], B = [ rrr 2 & -1 & 2 1 & 2 & 4 ] A + B = [ ccc 5 & 3-1 & 4 5 & 4 & 4 ] अतएव (A + B)^ = [ cc 5 & 5 3-1 & 4 4 & 4 ] अब A^ = [ cc 3 & 4 3 & 2 2 & 0 ], B^ = [ rr 2 & 1 -1 & 2 2 & 4 ] अतएव A^ + B^ = [ cc 5 & 5 3-1 & 4 4 & 4 ] अतः (A + B)^ = A^ + B^

यदि A = [ lll 3 & 3 & 2 4 & 2 & 0 ] तथा B = [ rrr 2 & -1 & 2 1 & …

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यदि A = $\left[\begin{array}{lll}3 & \sqrt{3} & 2 \\ 4 & 2 & 0\end{array}\right]$ तथा B = $\left[\begin{array}{rrr}2 & -1 & 2 \\ 1 & 2 & 4\end{array}\right]$ तो (A + B)$^{\prime}$ = A$^{\prime}$ + B$^{\prime}$ को सत्यापित कीजिए।

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यहाँ
A = $ \left[\begin{array}{lll} 3 & \sqrt{3} & 2 \\ 4 & 2 & 0 \end{array}\right]$, B = $ \left[\begin{array}{rrr} 2 & -1 & 2 \\ 1 & 2 & 4 \end{array}\right] $ $\Rightarrow$ A + B = $\left[\begin{array}{ccc} 5 & \sqrt{3}-1 & 4 \\ 5 & 4 & 4 \end{array}\right]$
अतएव (A + B)$^{\prime}$ = $ \left[\begin{array}{cc} 5 & 5 \\ \sqrt{3}-1 & 4 \\ 4 & 4 \end{array}\right] $
अब A$^{\prime}$ = $ \left[\begin{array}{cc} 3 & 4 \\ \sqrt{3} & 2 \\ 2 & 0 \end{array}\right]$, B$^{\prime}$ = $\left[\begin{array}{rr} 2 & 1 \\ -1 & 2 \\ 2 & 4 \end{array}\right] $
अतएव A$^{\prime}$ + B$^{\prime}$ = $\left[\begin{array}{cc}5 & 5 \\ \sqrt{3}-1 & 4 \\ 4 & 4\end{array}\right]$
अतः (A + B)$^{\prime}$ = A$^{\prime}$ + B$^{\prime}$

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