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AP EAMCET · Maths · Matrices

If A=1-1121-3111, 10B=422-50α1-23 and B=A-1 then the value of α is

  1. A 2
  2. B 0
  3. C 5
  4. D 4
Verified Solution

Answer & Solution

Correct Answer

(C) 5

Step-by-step Solution

Detailed explanation

Given, A=1-1121-3111 Then, A=11+3+12+3+12-1 ⇒A=10 Also, C11=4, C12=-5, C13=1, C21=2, C22=0, C23=-2, C31=2, C32=5, C33=3 And Adj(A)=C11C21C31C12C22C32C13C23C33=422-5051-23 We know that, A-1=1A·AdjA ⇒A-1=110422-5051-23 Also…