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NCERT Class 12 Maths Chapter 4: Determinants 8 Questions Solved

NCERT Solutions for Class 12 Maths Chapter 4 Determinants — Exercise 4.1

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

Evaluate the determinant of \(\left[\begin{matrix}2 & 4\\-5 & -1\end{matrix}\right]\).

Evaluate (i) \(\left[\begin{matrix}\cos{\left(\theta \right)} & - \sin{\left(\theta \right)}\\\sin{\left(\theta \right)} &…

For A=\(\left[\begin{matrix}1 & 2\\4 & 2\end{matrix}\right]\), show det(2A)=4 det A.

For A=\(\left[\begin{matrix}1 & 0 & 1\\0 & 1 & 2\\0 & 0 & 4\end{matrix}\right]\), show det(3A)=27 det A.

Evaluate the determinants: (1) \(\left[\begin{matrix}3 & -1 & -2\\0 & 0 & -1\\3 & -5 & 0\end{matrix}\right]\); (2)…

Evaluate the determinant of \(\left[\begin{matrix}1 & 1 & -2\\2 & 1 & -3\\5 & 4 & -9\end{matrix}\right]\).

Find x: (i) \(\left[\begin{matrix}2 & 4\\5 & 1\end{matrix}\right]\) and \(\left[\begin{matrix}2 x & 4\\6 & x\end{matrix}\right]\)…

If \(\left[\begin{matrix}x & 2\\18 & x\end{matrix}\right]\) and \(\left[\begin{matrix}6 & 2\\18 & 6\end{matrix}\right]\) have equal…