If A = 2 2 9 4 and I = 1 0 0 1 , then 10   A - 1 , is equal to.

If A=2294 and I=1001, then 10 A-1, is equal to.
  1. A-4I
  2. 6I-A
  3. A-6I
  4. 4I-A

Solution

Characteristics equation of matrix A is A-xI=0.

2294-x1001=0
⇒2-x924-x=0 ⇒x2-6x-10=0

∴A2-6A-10I=0
10A-1=A-6I.

Asked in: JEE Main 2020 (08 Jan Shift 2)

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