Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If $A=\left[\begin{array}{cc}2-k & 2 \\ 1 & 3-k\end{array}\right]$ is singular matrix, then the value of $5 k-k^2$ is equal to
MathematicsDeterminantsKCETKCET 2023
Options:
  • A $-6$
  • B $-4$
  • C $6$
  • D $4$
Solution:
1926 Upvotes Verified Answer
The correct answer is: $4$
$A=\left[\begin{array}{cc}2-k & 2 \\ 1 & 3-k\end{array}\right]$ is singular matrix we know
that $A$ is singular matrix, then $|A|=0$
$|A|=(2-k)(3-k)-2$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.