CBSE Class 12 Mathematics 2026 Main Paper 65/5/3 · Q31 Marksadjugate
CBSE Class 12 Mathematics 2026 Main Paper 65/5/3 · Question 3 (Determinants)
Which statement is false when A is nonsingular?
✅ Step-by-Step Solution
Final Answer: adj(A) is singular
- Since adj(A)=det(A)A⁻¹, it is invertible. Also adj(A⁻¹)=(adj(A))⁻¹.
Master Chapter 4: Determinants
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Determinants.
← Previous Question
Which entry condition characterizes diagonal matrices B=[bᵢⱼ]?
Next Question →The function is (x²−4x−5)/(x+1) for x≠−1 and k at x=−1. Find k for…
All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/5/3
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).