PYQ - Verify the given product — task. Maths TNSB Mentoring, Class 10 Crash course.

If \(A =\)

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

and \(B =\)

(\begin{array}{l} 2 & - 1 \\ - 1 & 5 \\ 0 & 2 \end{array})

, show that \((AB)^T = B^T A^T\).

Answer:

\(AB\) \(=\)

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

\((AB)^T\) \(=\)

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

- - - - - - - - (I)

\(B^T\) \(=\)

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

\(A^T\) \(=\)

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

\(B^{T}A^{T}\) \(=\)

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

- - - - - - - - (II)

Equation (I) Equation (II)

Hence, verified.

Did you find an error?

11. PYQ - Verify the given product