PYQ - Solve and verify the given equation — task. Maths TNSB Mentoring, Class 10 Crash course.

If \(A =\)

(\begin{array}{l} 1 & 1 \\ -2 & 3 \end{array})

, \(B =\)

(\begin{array}{l} 1 & 3 \\ -6 & 2 \end{array})

, \(C =\)

(\begin{array}{l} -9 & 6 \\ 3 & 3 \end{array})

, verify that \(A(B + C) = AB + AC\).

Answer:

\(B+C\) \(=\)

(\begin{array}{l} i & i \\ i & i \end{array})

\(A(B+C)\) \(=\)

(\begin{array}{l} i & i \\ i & i \end{array})

\(AB\) \(=\)

(\begin{array}{l} i & i \\ i & i \end{array})

......(I)

\(AC\) \(=\)

(\begin{array}{l} i & i \\ i & i \end{array})

\(AB + AC\) \(=\)

(\begin{array}{l} i & i \\ i & i \end{array})

......(II)

Equation (I) Equation (II)

Hence, verified.

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