Class 12 Determinants · Mcq Single Correct1 Marksmatrix_inverse
Class 12 Maths · Determinants · Mcq Single Correct #17
Find the inverse of \(\begin{bmatrix}-4 & 3\\7 & -5\end{bmatrix}\).
✅ Step-by-Step Solution
Final Answer: Option (B): \(\begin{bmatrix}5 & 3\\7 & 4\end{bmatrix}\)
- The determinant is 20−21=−1. The adjugate is [[−5,−3],[−7,−4]], so dividing by −1 gives [[5,3],[7,4]].
Master Chapter 4: Determinants
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Determinants.
← Previous Question
A is a real skew-symmetric matrix of order 3 and det(A)=x. Find 2023ˣ.
Next Question →For a 2×2 matrix A with det(A)=2, find det(4A⁻¹).
More Practice Questions in Determinants
Related Questions in Determinants
Class 12 Determinants · Mcq Single Correct
If \(\begin{vmatrix}2 & 4\\5 & 1\end{vmatrix}\)=\(\begin{vmatrix}2x & 4\\6 &…
Class 12 Determinants · Mcq Single Correct
The area of the triangle with vertices (−3,0),(3,0),(0,k) is 9 square units. Find k.
Class 12 Determinants · Mcq Single Correct
Let f(x)=\(\begin{vmatrix}0 & x−a & x−b\\x+a & 0 & x−c\\x+b & x+c & 0\end{vmatrix}\). Which…
Class 12 Determinants · Mcq Single Correct
If \(\begin{vmatrix}2 & 3 & 2\\x & x & x\\4 & 9 & 1\end{vmatrix}\)+3=0, find x.
Class 12 Determinants · Mcq Single Correct
If x=−4 is a root of \(\begin{vmatrix}x & 2 & 3\\1 & x & 1\\3 & 2 & x\end{vmatrix}\)=0, find…
Class 12 Determinants · Mcq Single Correct
For a 3×3 real matrix A, det(Aᵀ)=−3. Find det(AAᵀ).