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Inverse of Matrix
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In this lesson we discuss INVERSE of MATRIX with suitable examples and explanations.

Tushar Singhal is teaching live on Unacademy Plus

Tushar Singhal
B.Tech l NDA Mentor l You tube channel with Maths Short TRICKS I more than 120+selection in NDA, AIRFORCE, NAVY

U
Unacademy user
बुंदेलखंड - राजस्थान
  1. Inverse oP a Matvir (Reciprocal Matir) inveUctihle , il there eists a matusc B o the same thtn b is.caledthi in A-1. hus, cecipkecal)et Aand is denated 1AI and Authic cient a aquasu matrix A to be innertible is,that IAFO Propvities of Trvers ofa Matrix us webles At A. ://en.,


  2. and B nmuitible matvuices ouder n xm, then A6/u muutible ond (A8)101 A1 A' is alas inweribl and CA CA 4 hit Ab an invertible matix af onder n and k 5 Lut4 b an inmurtible matusc of adern, then hbe haue,


  3. IAI 4 a digenal metu 0 a 4 matrix A ah asdq the dia gonal elimeunts and diuding by IA.


  4. fok example, t A.REland 1 A|-Cad-bc)#0, en (ad bc L-c a Illustration. Connputethe invwed the maux Solution. We haw. A. 3 11 .:. A-1 exist Nous, c 1-1,8,- 5 R10-6, 3


  5. 18 -5 1-6 3 1 2 1 8 -6 5 3 1 1-1 1-1 2-5 3 -1 2 Hence, A1ady A 2. 2 I IAlI 2 C nM -


  6. Selution: A'-A,8'. b and IAl+0, 161'0 81 A CA 8)-1 - (BA) . A-181 4-1 A'. A and &'- 8] by Hence ,A* g1 i mitbruic guuatratian . Matuces A and B 2 -2 1 O . without tinding B Salution: AB-8-104AS 1 8-1


  7. 2-21 (2 -2 2 O