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Common Difference

If A =[ 1 2; ...

Question

If verify that (A + B)′ = A′ + B′

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Solution

Hence,

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A = [\begin{matrix} 2 & 5 \\ 2 & 1 \end{matrix}] and B = [\begin{matrix} 4 & - 3 \\ 2 & 5 \end{matrix}]

, verify that |AB| = |A| |B|.

A = {0, 1, 2, 3}

B = {2, 3, 4, 5, 6}

, then verify that

A - (A - B) = A \cap B

U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8}

B = {2, 3, 5, 7}

(A \cup B)^{'} = A^{'} \cap B^{'}

A^{'} = ⎡ ⎢ ⎣ \begin{matrix} 3 - 1 0 \end{matrix} \begin{matrix} 421 \end{matrix} ⎤ ⎥ ⎦

B = [\begin{matrix} - 1 & 2 & 1 1 & 2 & 3 \end{matrix}]

, then verify that:

(i) {(A + B)}^{'} = A^{'} + B^{'}

(i i) {(A - B)}^{'} = A^{'} - B^{'}

A = [\begin{matrix} 3 \\ 5 \\ 2 \end{matrix}]

and B = [1 0 4], verify that (AB)^T = B^T A^T

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