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NCERT Class 12 Maths Chapter 4: Determinants 9 Questions Solved

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

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

Prove that the determinant \(\left[\begin{matrix}x & \sin{\left(\theta \right)} & \cos{\left(\theta \right)}\\- \sin{\left(\theta…

Evaluate the determinant \(\left[\begin{matrix}\cos{\left(\alpha \right)} \cos{\left(\beta \right)} & \sin{\left(\beta \right)}…

Given A⁻¹=\(\left[\begin{matrix}3 & -1 & 1\\-15 & 6 & -5\\5 & -2 & 2\end{matrix}\right]\) and B=\(\left[\begin{matrix}1 & 2 & -2\\-1…

For A=\(\left[\begin{matrix}1 & 2 & 1\\2 & 3 & 1\\1 & 1 & 5\end{matrix}\right]\), verify (adj A)⁻¹=adj(A⁻¹) and (A⁻¹)⁻¹=A.

Evaluate the determinant of \(\left[\begin{matrix}x & y & x + y\\y & x + y & x\\x + y & x & y\end{matrix}\right]\).

Evaluate the determinant of \(\left[\begin{matrix}1 & x & y\\1 & x + y & y\\1 & x & x + y\end{matrix}\right]\).

Solve using matrices: 2/x+3/y+10/z=4, 4/x−6/y+5/z=1, 6/x+9/y−20/z=2.

For A=diag(x,y,z), where xyz≠0, find A⁻¹.

If A=\(\left[\begin{matrix}1 & \sin{\left(\theta \right)} & 1\\- \sin{\left(\theta \right)} & 1 & \sin{\left(\theta \right)}\\-1 &…