Mathbee · CBSE Class 12 Maths

NCERT Class 12 Maths Chapter 3: Matrices 11 Questions Solved

NCERT Solutions for Class 12 Maths Chapter 3 Matrices — Miscellaneous Exercise

Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.

For same-order symmetric A,B, prove AB−BA is skew symmetric.

Show BᵀAB is symmetric or skew symmetric according as A is symmetric or skew symmetric. Assume compatible dimensions.

Find all real x,y,z for A=\(\left[\begin{matrix}0 & 2 y & z\\x & y & - z\\x & - y & z\end{matrix}\right]\) to satisfy AᵀA=I.

Find x such that \(\left[\begin{matrix}1 & 2 & 1\end{matrix}\right]\)\(\left[\begin{matrix}1 & 2 & 0\\2 & 0 & 1\\1 & 0 &…

For A=\(\left[\begin{matrix}3 & 1\\-1 & 2\end{matrix}\right]\), prove A²−5A+7I=O.

Find x for which \(\left[\begin{matrix}x & -5 & -1\end{matrix}\right]\)\(\left[\begin{matrix}1 & 0 & 2\\0 & 2 & 1\\2 & 0 &…

A manufacturer sells x,y,z in two markets, with annual quantity matrix \(\left[\begin{matrix}10000 & 2000 & 18000\\6000 & 20000 &…

Find X such that X\(\left[\begin{matrix}1 & 2 & 3\\4 & 5 & 6\end{matrix}\right]\) = \(\left[\begin{matrix}-7 & -8 & -9\\2 & 4 &…

If A=\(\left[\begin{matrix}\alpha & \beta\\\gamma & - \alpha\end{matrix}\right]\) satisfies A²=I, choose the resulting scalar…

A real matrix A is both symmetric and skew symmetric. Choose the most specific necessary conclusion.

If A is square and A²=A, simplify (I+A)³−7A.