PYQ - Verify the matrix equation — task. Maths TNSB Mentoring, Class 10 Crash course.

If \(A =\)

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

, \(B =\)

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

and \(C =\)

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

, verify that \((AB)C = A(BC)\).

Answer:

\(AB\) \(=\)

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

\((AB)C\) \(=\)

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

........(1)

\(BC\) \(=\)

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

\(A(BC)\) \(=\)

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

........(2)

From equation (1) and (2), we have \((AB)C = A(BC)\).

Hence, proved.

Login or Fast registration

Exit to the topic

Did you find an error?