Engineering Board Exam Reviewer · Matrix Inverse and Cofactors · medium

Find the inverse of A= bmatrix4&7\2&6 bmatrix.

  1. bmatrix0.6&-0.7\-0.2&0.4 bmatrix
  2. bmatrix6&-7\-2&4 bmatrix
  3. bmatrix0.6&0.7\0.2&0.4 bmatrix
  4. bmatrix0.4&-0.7\-0.2&0.6 bmatrix

Answer

A. bmatrix0.6&-0.7\-0.2&0.4 bmatrix

Solution

(A)=4(6)-7(2)=10. A-1=1/10 bmatrix6&-7\-2&4 bmatrix= bmatrix0.6&-0.7\-0.2&0.4 bmatrix.

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