Mathbee CBSE Mathbee · CBSE Class 12 Maths
Class 12 Determinants · Conceptual Answer1 Marksmatrix_inverse

Class 12 Maths · Determinants · Conceptual Answer #87

Find A⁻¹ for A=\(\begin{bmatrix}3 & -4\\1 & -1\end{bmatrix}\).

✅ Step-by-Step Solution

Final Answer: \(\begin{bmatrix}-1 & 4\\-1 & 3\end{bmatrix}\)
  1. det(A)=−3+4=1, so A⁻¹=adj(A)=[[−1,4],[−1,3]].
  2. \(\begin{bmatrix}-1 & 4\\-1 & 3\end{bmatrix}\)

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] det(A)=−3+4=1, so A⁻¹=adj(A)=[[−1,4],[−1,3]].
  • [0.5 marks] \(\begin{bmatrix}-1 & 4\\-1 & 3\end{bmatrix}\)

Master Chapter 4: Determinants

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Determinants.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
A is a square matrix of order n and det(A)=4. Find det(A adj(A)).
Next Question →
Using a determinant, find the equation of the line through (3,1) and…

More Practice Questions in Determinants

Related Questions in Determinants