Manipal MET2013MathematicsMatrices
Let A= [ array ll 0 & 0 & 0 array ] and (A+I)⁵⁰-50 A= [ array ll a & b c & d array ] , then the value of a+b+c+d is
Options
- A2
- B1
- C4
- DNone of these
Correct answer
A. 2
Step-by-step solution
As. A^2=0, A^K=0 K 2 Thus, (A+I)⁵⁰=I+50 A (A+I)⁵⁰-50 A=I I= [ array ll a & b c & d array ] aligned & a=1, b=0, c=0, d=1 & a+b+c+d=1+0+0+1=2 aligned