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

If \(U =\)

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

show that \(U^2 - 5U + 1I_2 = O\).

Solution:

\(U^2 =\)

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

\(5U =\)

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

\(1I_2 =\)

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

\(U^2 - 5U + 1I_2 =\)

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

\(U^2 - 5U + 1I_2 = O\)

Did you find an error?

10. PYQ - Verify the given matrix equation