1.9.given A ⎣⎡124120−130⎦⎤ B=⎣⎡124120−130⎦⎤
1.9.1. find -A -1 +3BT
1.9.2. Find B-1+(AT+A-1)
1
Expert's answer
2022-04-05T16:23:29-0400
Remind that for 3×3 matrix T=⎝⎛a11a21a31a12a22a32a13a23a33⎠⎞ the inverse can be computed using the formula: T−1=∣T∣1AdjT, where ∣T∣ is the determinant of matrix T. It has the form: ∣T∣=a11a22a33+a21a13a32+a31a12a23−a11a23a32−a12a21a33−a31a13a22 ; AdjT=⎝⎛A11A21A31A12A22A32A13A23A33⎠⎞ and A11=∣∣a22a32a23a33∣∣, A12=−∣∣a12a32a13a33∣∣, A13=∣∣a12a22a13a23∣∣, A21=−∣∣a21a31a23a33∣∣, A22=∣∣a11a31a13a33∣∣, A23=−∣∣a11a21a13a23∣∣ , A31=∣∣a21a31a22a32∣∣, A32=−∣∣a11a31a12a32∣∣, A33=∣∣a11a21a12a22∣∣.
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