NCERT Class 12 Maths
Chapter 4: Determinants
16 Questions Solved
NCERT Solutions for Class 12 Maths Chapter 4 Determinants — Exercise 4.5
Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.
Question 1
Examine consistency. Use the matrix method for AX=B, where A = \(\left[\begin{matrix}1 & 2\\2 & 3\end{matrix}\right]\), B =…
Question 2
Examine consistency. Use the matrix method for AX=B, where A = \(\left[\begin{matrix}2 & -1\\1 & 1\end{matrix}\right]\), B =…
Question 3
Examine consistency. Use the matrix method for AX=B, where A = \(\left[\begin{matrix}1 & 3\\2 & 6\end{matrix}\right]\), B =…
Question 4
Examine consistency: x+y+z=1, 2x+3y+2z=2, ax+ay+2az=4.
Question 5
Examine consistency. Use the matrix method for AX=B, where A = \(\left[\begin{matrix}3 & -1 & -2\\0 & 2 & -1\\3 & -5 &…
Question 6
Examine consistency. Use the matrix method for AX=B, where A = \(\left[\begin{matrix}5 & -1 & 4\\2 & 3 & 5\\5 & -2 &…
Question 7
Use the matrix method for AX=B, where A = \(\left[\begin{matrix}5 & 2\\7 & 3\end{matrix}\right]\), B =…
Question 8
Use the matrix method for AX=B, where A = \(\left[\begin{matrix}2 & -1\\3 & 4\end{matrix}\right]\), B =…
Question 9
Use the matrix method for AX=B, where A = \(\left[\begin{matrix}4 & -3\\3 & -5\end{matrix}\right]\), B =…
Question 10
Use the matrix method for AX=B, where A = \(\left[\begin{matrix}5 & 2\\3 & 2\end{matrix}\right]\), B =…
Question 11
Use the matrix method for AX=B, where A = \(\left[\begin{matrix}2 & 1 & 1\\1 & -2 & -1\\0 & 3 & -5\end{matrix}\right]\), B =…
Question 12
Use the matrix method for AX=B, where A = \(\left[\begin{matrix}1 & -1 & 1\\2 & 1 & -3\\1 & 1 & 1\end{matrix}\right]\), B =…
Question 13
Use the matrix method for AX=B, where A = \(\left[\begin{matrix}2 & 3 & 3\\1 & -2 & 1\\3 & -1 & -2\end{matrix}\right]\), B =…
Question 14
Use the matrix method for AX=B, where A = \(\left[\begin{matrix}1 & -1 & 2\\3 & 4 & -5\\2 & -1 & 3\end{matrix}\right]\), B =…
Question 15
Find the inverse of the coefficient matrix, then solve. Use the matrix method for AX=B, where A = \(\left[\begin{matrix}2 & -3 & 5\\3…
Question 16
Onion, wheat and rice quantities (kg) are rows of A and total costs (₹) are B. Find their per-kg prices x,y,z. Use the matrix method…